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Finding the Third Proportional to 203,499 and 442,010.25

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Solution

The third proportional to 203,499 and 442,010.25 is: 960,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,499 : 442,010.25 = 442,010.25 : x
  2. Step 2: Convert to fraction form
    203,499/442,010.25 = 442,010.25/x
  3. Step 3: Cross multiply
    203,499x = 442,010.25 × 442,010.25
  4. Step 4: Simplify right side
    203,499x = 195,373,061,105.06
  5. Step 5: Solve for x
    x = 195,373,061,105.06/203,499
  6. Step 6: Final answer
    x = 960,068.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.