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Finding the Third Proportional to 239,472 and 375,660

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Solution

The third proportional to 239,472 and 375,660 is: 589,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,472 : 375,660 = 375,660 : x
  2. Step 2: Convert to fraction form
    239,472/375,660 = 375,660/x
  3. Step 3: Cross multiply
    239,472x = 375,660 × 375,660
  4. Step 4: Simplify right side
    239,472x = 141,120,435,600
  5. Step 5: Solve for x
    x = 141,120,435,600/239,472
  6. Step 6: Final answer
    x = 589,298.27

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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.