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Finding the Third Proportional to 241,784 and 522,496

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Solution

The third proportional to 241,784 and 522,496 is: 1,129,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,784 : 522,496 = 522,496 : x
  2. Step 2: Convert to fraction form
    241,784/522,496 = 522,496/x
  3. Step 3: Cross multiply
    241,784x = 522,496 × 522,496
  4. Step 4: Simplify right side
    241,784x = 273,002,070,016
  5. Step 5: Solve for x
    x = 273,002,070,016/241,784
  6. Step 6: Final answer
    x = 1,129,115.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.