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Finding the Third Proportional to 239,769 and 372,532

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Solution

The third proportional to 239,769 and 372,532 is: 578,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,769 : 372,532 = 372,532 : x
  2. Step 2: Convert to fraction form
    239,769/372,532 = 372,532/x
  3. Step 3: Cross multiply
    239,769x = 372,532 × 372,532
  4. Step 4: Simplify right side
    239,769x = 138,780,091,024
  5. Step 5: Solve for x
    x = 138,780,091,024/239,769
  6. Step 6: Final answer
    x = 578,807.48

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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.