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Finding the Third Proportional to 243,300 and 522,561

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Solution

The third proportional to 243,300 and 522,561 is: 1,122,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,300 : 522,561 = 522,561 : x
  2. Step 2: Convert to fraction form
    243,300/522,561 = 522,561/x
  3. Step 3: Cross multiply
    243,300x = 522,561 × 522,561
  4. Step 4: Simplify right side
    243,300x = 273,069,998,721
  5. Step 5: Solve for x
    x = 273,069,998,721/243,300
  6. Step 6: Final answer
    x = 1,122,359.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.