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Finding the Third Proportional to 239,952 and 372,504

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Solution

The third proportional to 239,952 and 372,504 is: 578,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,952 : 372,504 = 372,504 : x
  2. Step 2: Convert to fraction form
    239,952/372,504 = 372,504/x
  3. Step 3: Cross multiply
    239,952x = 372,504 × 372,504
  4. Step 4: Simplify right side
    239,952x = 138,759,230,016
  5. Step 5: Solve for x
    x = 138,759,230,016/239,952
  6. Step 6: Final answer
    x = 578,279.11

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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.