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Finding the Third Proportional to 493,500,295.50 and 766,606,593

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Solution

The third proportional to 493,500,295.50 and 766,606,593 is: 1,190,851,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,500,295.50 : 766,606,593 = 766,606,593 : x
  2. Step 2: Convert to fraction form
    493,500,295.50/766,606,593 = 766,606,593/x
  3. Step 3: Cross multiply
    493,500,295.50x = 766,606,593 × 766,606,593
  4. Step 4: Simplify right side
    493,500,295.50x = 587,685,668,431,067,648
  5. Step 5: Solve for x
    x = 587,685,668,431,067,648/493,500,295.50
  6. Step 6: Final answer
    x = 1,190,851,705.24

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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.