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Finding the Third Proportional to 243,442 and 527,980

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Solution

The third proportional to 243,442 and 527,980 is: 1,145,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,442 : 527,980 = 527,980 : x
  2. Step 2: Convert to fraction form
    243,442/527,980 = 527,980/x
  3. Step 3: Cross multiply
    243,442x = 527,980 × 527,980
  4. Step 4: Simplify right side
    243,442x = 278,762,880,400
  5. Step 5: Solve for x
    x = 278,762,880,400/243,442
  6. Step 6: Final answer
    x = 1,145,089.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.