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Finding the Third Proportional to 515,063 and 797,516

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Solution

The third proportional to 515,063 and 797,516 is: 1,234,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,063 : 797,516 = 797,516 : x
  2. Step 2: Convert to fraction form
    515,063/797,516 = 797,516/x
  3. Step 3: Cross multiply
    515,063x = 797,516 × 797,516
  4. Step 4: Simplify right side
    515,063x = 636,031,770,256
  5. Step 5: Solve for x
    x = 636,031,770,256/515,063
  6. Step 6: Final answer
    x = 1,234,862.09

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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.