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Finding the Third Proportional to 513,363.38 and 798,046.88

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Solution

The third proportional to 513,363.38 and 798,046.88 is: 1,240,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,363.38 : 798,046.88 = 798,046.88 : x
  2. Step 2: Convert to fraction form
    513,363.38/798,046.88 = 798,046.88/x
  3. Step 3: Cross multiply
    513,363.38x = 798,046.88 × 798,046.88
  4. Step 4: Simplify right side
    513,363.38x = 636,878,814,697.27
  5. Step 5: Solve for x
    x = 636,878,814,697.27/513,363.38
  6. Step 6: Final answer
    x = 1,240,600.41

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Why These Related Problems?

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