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Finding the Third Proportional to 234,535 and 553,100

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Solution

The third proportional to 234,535 and 553,100 is: 1,304,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,535 : 553,100 = 553,100 : x
  2. Step 2: Convert to fraction form
    234,535/553,100 = 553,100/x
  3. Step 3: Cross multiply
    234,535x = 553,100 × 553,100
  4. Step 4: Simplify right side
    234,535x = 305,919,610,000
  5. Step 5: Solve for x
    x = 305,919,610,000/234,535
  6. Step 6: Final answer
    x = 1,304,366.56

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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.