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Finding the Third Proportional to 510,545.25 and 847,951.88

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Solution

The third proportional to 510,545.25 and 847,951.88 is: 1,408,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,545.25 : 847,951.88 = 847,951.88 : x
  2. Step 2: Convert to fraction form
    510,545.25/847,951.88 = 847,951.88/x
  3. Step 3: Cross multiply
    510,545.25x = 847,951.88 × 847,951.88
  4. Step 4: Simplify right side
    510,545.25x = 719,022,382,316.02
  5. Step 5: Solve for x
    x = 719,022,382,316.02/510,545.25
  6. Step 6: Final answer
    x = 1,408,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.