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Finding the Third Proportional to 252,724 and 380,112

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Solution

The third proportional to 252,724 and 380,112 is: 571,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,724 : 380,112 = 380,112 : x
  2. Step 2: Convert to fraction form
    252,724/380,112 = 380,112/x
  3. Step 3: Cross multiply
    252,724x = 380,112 × 380,112
  4. Step 4: Simplify right side
    252,724x = 144,485,132,544
  5. Step 5: Solve for x
    x = 144,485,132,544/252,724
  6. Step 6: Final answer
    x = 571,711.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.