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Finding the Third Proportional to 447,126 and 676,470

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Solution

The third proportional to 447,126 and 676,470 is: 1,023,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,126 : 676,470 = 676,470 : x
  2. Step 2: Convert to fraction form
    447,126/676,470 = 676,470/x
  3. Step 3: Cross multiply
    447,126x = 676,470 × 676,470
  4. Step 4: Simplify right side
    447,126x = 457,611,660,900
  5. Step 5: Solve for x
    x = 457,611,660,900/447,126
  6. Step 6: Final answer
    x = 1,023,451.24

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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.