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Finding the Third Proportional to 493,500,290.25 and 766,606,585.50

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Solution

The third proportional to 493,500,290.25 and 766,606,585.50 is: 1,190,851,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,500,290.25 : 766,606,585.50 = 766,606,585.50 : x
  2. Step 2: Convert to fraction form
    493,500,290.25/766,606,585.50 = 766,606,585.50/x
  3. Step 3: Cross multiply
    493,500,290.25x = 766,606,585.50 × 766,606,585.50
  4. Step 4: Simplify right side
    493,500,290.25x = 587,685,656,931,968,768
  5. Step 5: Solve for x
    x = 587,685,656,931,968,768/493,500,290.25
  6. Step 6: Final answer
    x = 1,190,851,694.60

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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.