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Finding the Third Proportional to 230,032.13 and 502,710.38

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Solution

The third proportional to 230,032.13 and 502,710.38 is: 1,098,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,032.13 : 502,710.38 = 502,710.38 : x
  2. Step 2: Convert to fraction form
    230,032.13/502,710.38 = 502,710.38/x
  3. Step 3: Cross multiply
    230,032.13x = 502,710.38 × 502,710.38
  4. Step 4: Simplify right side
    230,032.13x = 252,717,721,132.64
  5. Step 5: Solve for x
    x = 252,717,721,132.64/230,032.13
  6. Step 6: Final answer
    x = 1,098,619.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.