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Finding the Third Proportional to 371,956 and 540,654

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Solution

The third proportional to 371,956 and 540,654 is: 785,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,956 : 540,654 = 540,654 : x
  2. Step 2: Convert to fraction form
    371,956/540,654 = 540,654/x
  3. Step 3: Cross multiply
    371,956x = 540,654 × 540,654
  4. Step 4: Simplify right side
    371,956x = 292,306,747,716
  5. Step 5: Solve for x
    x = 292,306,747,716/371,956
  6. Step 6: Final answer
    x = 785,863.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.