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Finding the Third Proportional to 241,820 and 527,353

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Solution

The third proportional to 241,820 and 527,353 is: 1,150,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,820 : 527,353 = 527,353 : x
  2. Step 2: Convert to fraction form
    241,820/527,353 = 527,353/x
  3. Step 3: Cross multiply
    241,820x = 527,353 × 527,353
  4. Step 4: Simplify right side
    241,820x = 278,101,186,609
  5. Step 5: Solve for x
    x = 278,101,186,609/241,820
  6. Step 6: Final answer
    x = 1,150,033.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.