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Finding the Third Proportional to 487,350 and 731,025

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Solution

The third proportional to 487,350 and 731,025 is: 1,096,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,350 : 731,025 = 731,025 : x
  2. Step 2: Convert to fraction form
    487,350/731,025 = 731,025/x
  3. Step 3: Cross multiply
    487,350x = 731,025 × 731,025
  4. Step 4: Simplify right side
    487,350x = 534,397,550,625
  5. Step 5: Solve for x
    x = 534,397,550,625/487,350
  6. Step 6: Final answer
    x = 1,096,537.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.