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Finding the Third Proportional to 239,954 and 372,507

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Solution

The third proportional to 239,954 and 372,507 is: 578,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,954 : 372,507 = 372,507 : x
  2. Step 2: Convert to fraction form
    239,954/372,507 = 372,507/x
  3. Step 3: Cross multiply
    239,954x = 372,507 × 372,507
  4. Step 4: Simplify right side
    239,954x = 138,761,465,049
  5. Step 5: Solve for x
    x = 138,761,465,049/239,954
  6. Step 6: Final answer
    x = 578,283.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.