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Finding the Third Proportional to 273,038 and 413,374

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Solution

The third proportional to 273,038 and 413,374 is: 625,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,038 : 413,374 = 413,374 : x
  2. Step 2: Convert to fraction form
    273,038/413,374 = 413,374/x
  3. Step 3: Cross multiply
    273,038x = 413,374 × 413,374
  4. Step 4: Simplify right side
    273,038x = 170,878,063,876
  5. Step 5: Solve for x
    x = 170,878,063,876/273,038
  6. Step 6: Final answer
    x = 625,839.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.