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Finding the Third Proportional to 498,851.25 and 760,732.13

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Solution

The third proportional to 498,851.25 and 760,732.13 is: 1,160,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,851.25 : 760,732.13 = 760,732.13 : x
  2. Step 2: Convert to fraction form
    498,851.25/760,732.13 = 760,732.13/x
  3. Step 3: Cross multiply
    498,851.25x = 760,732.13 × 760,732.13
  4. Step 4: Simplify right side
    498,851.25x = 578,713,366,007.02
  5. Step 5: Solve for x
    x = 578,713,366,007.02/498,851.25
  6. Step 6: Final answer
    x = 1,160,092.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.