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Finding the Third Proportional to 273,473 and 413,982

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Solution

The third proportional to 273,473 and 413,982 is: 626,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,473 : 413,982 = 413,982 : x
  2. Step 2: Convert to fraction form
    273,473/413,982 = 413,982/x
  3. Step 3: Cross multiply
    273,473x = 413,982 × 413,982
  4. Step 4: Simplify right side
    273,473x = 171,381,096,324
  5. Step 5: Solve for x
    x = 171,381,096,324/273,473
  6. Step 6: Final answer
    x = 626,683.79

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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.