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Finding the Third Proportional to 493,500,319.50 and 766,606,630.50

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Solution

The third proportional to 493,500,319.50 and 766,606,630.50 is: 1,190,851,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,500,319.50 : 766,606,630.50 = 766,606,630.50 : x
  2. Step 2: Convert to fraction form
    493,500,319.50/766,606,630.50 = 766,606,630.50/x
  3. Step 3: Cross multiply
    493,500,319.50x = 766,606,630.50 × 766,606,630.50
  4. Step 4: Simplify right side
    493,500,319.50x = 587,685,725,926,563,584
  5. Step 5: Solve for x
    x = 587,685,725,926,563,584/493,500,319.50
  6. Step 6: Final answer
    x = 1,190,851,763.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.