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Finding the Third Proportional to 337,754 and 527,080

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Solution

The third proportional to 337,754 and 527,080 is: 822,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,754 : 527,080 = 527,080 : x
  2. Step 2: Convert to fraction form
    337,754/527,080 = 527,080/x
  3. Step 3: Cross multiply
    337,754x = 527,080 × 527,080
  4. Step 4: Simplify right side
    337,754x = 277,813,326,400
  5. Step 5: Solve for x
    x = 277,813,326,400/337,754
  6. Step 6: Final answer
    x = 822,531.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.