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Finding the Third Proportional to 234,534 and 553,098

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Solution

The third proportional to 234,534 and 553,098 is: 1,304,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,534 : 553,098 = 553,098 : x
  2. Step 2: Convert to fraction form
    234,534/553,098 = 553,098/x
  3. Step 3: Cross multiply
    234,534x = 553,098 × 553,098
  4. Step 4: Simplify right side
    234,534x = 305,917,397,604
  5. Step 5: Solve for x
    x = 305,917,397,604/234,534
  6. Step 6: Final answer
    x = 1,304,362.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.