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Finding the Third Proportional to 587,710.69 and 938,405.25

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Solution

The third proportional to 587,710.69 and 938,405.25 is: 1,498,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,710.69 : 938,405.25 = 938,405.25 : x
  2. Step 2: Convert to fraction form
    587,710.69/938,405.25 = 938,405.25/x
  3. Step 3: Cross multiply
    587,710.69x = 938,405.25 × 938,405.25
  4. Step 4: Simplify right side
    587,710.69x = 880,604,413,227.56
  5. Step 5: Solve for x
    x = 880,604,413,227.56/587,710.69
  6. Step 6: Final answer
    x = 1,498,363.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.