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Finding the Third Proportional to 234,902 and 362,721

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Solution

The third proportional to 234,902 and 362,721 is: 560,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,902 : 362,721 = 362,721 : x
  2. Step 2: Convert to fraction form
    234,902/362,721 = 362,721/x
  3. Step 3: Cross multiply
    234,902x = 362,721 × 362,721
  4. Step 4: Simplify right side
    234,902x = 131,566,523,841
  5. Step 5: Solve for x
    x = 131,566,523,841/234,902
  6. Step 6: Final answer
    x = 560,091.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.