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Finding the Third Proportional to 337,863 and 455,081

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Solution

The third proportional to 337,863 and 455,081 is: 612,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,863 : 455,081 = 455,081 : x
  2. Step 2: Convert to fraction form
    337,863/455,081 = 455,081/x
  3. Step 3: Cross multiply
    337,863x = 455,081 × 455,081
  4. Step 4: Simplify right side
    337,863x = 207,098,716,561
  5. Step 5: Solve for x
    x = 207,098,716,561/337,863
  6. Step 6: Final answer
    x = 612,966.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.