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Finding the Third Proportional to 270,672 and 587,448

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Solution

The third proportional to 270,672 and 587,448 is: 1,274,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,672 : 587,448 = 587,448 : x
  2. Step 2: Convert to fraction form
    270,672/587,448 = 587,448/x
  3. Step 3: Cross multiply
    270,672x = 587,448 × 587,448
  4. Step 4: Simplify right side
    270,672x = 345,095,152,704
  5. Step 5: Solve for x
    x = 345,095,152,704/270,672
  6. Step 6: Final answer
    x = 1,274,956.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.