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Finding the Third Proportional to 447,124 and 676,458

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Solution

The third proportional to 447,124 and 676,458 is: 1,023,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,124 : 676,458 = 676,458 : x
  2. Step 2: Convert to fraction form
    447,124/676,458 = 676,458/x
  3. Step 3: Cross multiply
    447,124x = 676,458 × 676,458
  4. Step 4: Simplify right side
    447,124x = 457,595,425,764
  5. Step 5: Solve for x
    x = 457,595,425,764/447,124
  6. Step 6: Final answer
    x = 1,023,419.51

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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.