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Finding the Third Proportional to 282,997.13 and 420,643.97

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Solution

The third proportional to 282,997.13 and 420,643.97 is: 625,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,997.13 : 420,643.97 = 420,643.97 : x
  2. Step 2: Convert to fraction form
    282,997.13/420,643.97 = 420,643.97/x
  3. Step 3: Cross multiply
    282,997.13x = 420,643.97 × 420,643.97
  4. Step 4: Simplify right side
    282,997.13x = 176,941,348,445.75
  5. Step 5: Solve for x
    x = 176,941,348,445.75/282,997.13
  6. Step 6: Final answer
    x = 625,240.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.