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Finding the Third Proportional to 253,902 and 372,996

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Solution

The third proportional to 253,902 and 372,996 is: 547,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,902 : 372,996 = 372,996 : x
  2. Step 2: Convert to fraction form
    253,902/372,996 = 372,996/x
  3. Step 3: Cross multiply
    253,902x = 372,996 × 372,996
  4. Step 4: Simplify right side
    253,902x = 139,126,016,016
  5. Step 5: Solve for x
    x = 139,126,016,016/253,902
  6. Step 6: Final answer
    x = 547,951.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.