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Finding the Third Proportional to 234,540 and 553,112

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Solution

The third proportional to 234,540 and 553,112 is: 1,304,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,540 : 553,112 = 553,112 : x
  2. Step 2: Convert to fraction form
    234,540/553,112 = 553,112/x
  3. Step 3: Cross multiply
    234,540x = 553,112 × 553,112
  4. Step 4: Simplify right side
    234,540x = 305,932,884,544
  5. Step 5: Solve for x
    x = 305,932,884,544/234,540
  6. Step 6: Final answer
    x = 1,304,395.35

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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.