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Finding the Third Proportional to 252,473 and 547,864

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Solution

The third proportional to 252,473 and 547,864 is: 1,188,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,473 : 547,864 = 547,864 : x
  2. Step 2: Convert to fraction form
    252,473/547,864 = 547,864/x
  3. Step 3: Cross multiply
    252,473x = 547,864 × 547,864
  4. Step 4: Simplify right side
    252,473x = 300,154,962,496
  5. Step 5: Solve for x
    x = 300,154,962,496/252,473
  6. Step 6: Final answer
    x = 1,188,859.65

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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.