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Finding the Third Proportional to 315,760 and 676,448

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Solution

The third proportional to 315,760 and 676,448 is: 1,449,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,760 : 676,448 = 676,448 : x
  2. Step 2: Convert to fraction form
    315,760/676,448 = 676,448/x
  3. Step 3: Cross multiply
    315,760x = 676,448 × 676,448
  4. Step 4: Simplify right side
    315,760x = 457,581,896,704
  5. Step 5: Solve for x
    x = 457,581,896,704/315,760
  6. Step 6: Final answer
    x = 1,449,144.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.