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Finding the Third Proportional to 502,596 and 777,234

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Solution

The third proportional to 502,596 and 777,234 is: 1,201,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,596 : 777,234 = 777,234 : x
  2. Step 2: Convert to fraction form
    502,596/777,234 = 777,234/x
  3. Step 3: Cross multiply
    502,596x = 777,234 × 777,234
  4. Step 4: Simplify right side
    502,596x = 604,092,690,756
  5. Step 5: Solve for x
    x = 604,092,690,756/502,596
  6. Step 6: Final answer
    x = 1,201,944.88

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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.