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Finding the Third Proportional to 514,243.69 and 797,358.94

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Solution

The third proportional to 514,243.69 and 797,358.94 is: 1,236,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,243.69 : 797,358.94 = 797,358.94 : x
  2. Step 2: Convert to fraction form
    514,243.69/797,358.94 = 797,358.94/x
  3. Step 3: Cross multiply
    514,243.69x = 797,358.94 × 797,358.94
  4. Step 4: Simplify right side
    514,243.69x = 635,781,275,211.13
  5. Step 5: Solve for x
    x = 635,781,275,211.13/514,243.69
  6. Step 6: Final answer
    x = 1,236,342.40

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