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Finding the Third Proportional to 519,866 and 761,775

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Solution

The third proportional to 519,866 and 761,775 is: 1,116,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,866 : 761,775 = 761,775 : x
  2. Step 2: Convert to fraction form
    519,866/761,775 = 761,775/x
  3. Step 3: Cross multiply
    519,866x = 761,775 × 761,775
  4. Step 4: Simplify right side
    519,866x = 580,301,150,625
  5. Step 5: Solve for x
    x = 580,301,150,625/519,866
  6. Step 6: Final answer
    x = 1,116,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.