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Finding the Third Proportional to 532,387.69 and 747,030.09

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Solution

The third proportional to 532,387.69 and 747,030.09 is: 1,048,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,387.69 : 747,030.09 = 747,030.09 : x
  2. Step 2: Convert to fraction form
    532,387.69/747,030.09 = 747,030.09/x
  3. Step 3: Cross multiply
    532,387.69x = 747,030.09 × 747,030.09
  4. Step 4: Simplify right side
    532,387.69x = 558,053,960,968.13
  5. Step 5: Solve for x
    x = 558,053,960,968.13/532,387.69
  6. Step 6: Final answer
    x = 1,048,209.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.