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Finding the Third Proportional to 241,473 and 527,820

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Solution

The third proportional to 241,473 and 527,820 is: 1,153,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473 : 527,820 = 527,820 : x
  2. Step 2: Convert to fraction form
    241,473/527,820 = 527,820/x
  3. Step 3: Cross multiply
    241,473x = 527,820 × 527,820
  4. Step 4: Simplify right side
    241,473x = 278,593,952,400
  5. Step 5: Solve for x
    x = 278,593,952,400/241,473
  6. Step 6: Final answer
    x = 1,153,727.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.