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Finding the Third Proportional to 342,522 and 527,121

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Solution

The third proportional to 342,522 and 527,121 is: 811,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,522 : 527,121 = 527,121 : x
  2. Step 2: Convert to fraction form
    342,522/527,121 = 527,121/x
  3. Step 3: Cross multiply
    342,522x = 527,121 × 527,121
  4. Step 4: Simplify right side
    342,522x = 277,856,548,641
  5. Step 5: Solve for x
    x = 277,856,548,641/342,522
  6. Step 6: Final answer
    x = 811,207.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.