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Finding the Third Proportional to 234,535.50 and 553,101.75

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Solution

The third proportional to 234,535.50 and 553,101.75 is: 1,304,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,535.50 : 553,101.75 = 553,101.75 : x
  2. Step 2: Convert to fraction form
    234,535.50/553,101.75 = 553,101.75/x
  3. Step 3: Cross multiply
    234,535.50x = 553,101.75 × 553,101.75
  4. Step 4: Simplify right side
    234,535.50x = 305,921,545,853.06
  5. Step 5: Solve for x
    x = 305,921,545,853.06/234,535.50
  6. Step 6: Final answer
    x = 1,304,372.03

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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.