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Finding the Third Proportional to 247,705 and 527,378

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Solution

The third proportional to 247,705 and 527,378 is: 1,122,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,705 : 527,378 = 527,378 : x
  2. Step 2: Convert to fraction form
    247,705/527,378 = 527,378/x
  3. Step 3: Cross multiply
    247,705x = 527,378 × 527,378
  4. Step 4: Simplify right side
    247,705x = 278,127,554,884
  5. Step 5: Solve for x
    x = 278,127,554,884/247,705
  6. Step 6: Final answer
    x = 1,122,817.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.