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Finding the Third Proportional to 241,818 and 527,349

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Solution

The third proportional to 241,818 and 527,349 is: 1,150,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,818 : 527,349 = 527,349 : x
  2. Step 2: Convert to fraction form
    241,818/527,349 = 527,349/x
  3. Step 3: Cross multiply
    241,818x = 527,349 × 527,349
  4. Step 4: Simplify right side
    241,818x = 278,096,967,801
  5. Step 5: Solve for x
    x = 278,096,967,801/241,818
  6. Step 6: Final answer
    x = 1,150,025.92

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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.