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Finding the Third Proportional to 239,524 and 375,742

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Solution

The third proportional to 239,524 and 375,742 is: 589,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,524 : 375,742 = 375,742 : x
  2. Step 2: Convert to fraction form
    239,524/375,742 = 375,742/x
  3. Step 3: Cross multiply
    239,524x = 375,742 × 375,742
  4. Step 4: Simplify right side
    239,524x = 141,182,050,564
  5. Step 5: Solve for x
    x = 141,182,050,564/239,524
  6. Step 6: Final answer
    x = 589,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.