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Finding the Third Proportional to 268,454.25 and 578,961

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Solution

The third proportional to 268,454.25 and 578,961 is: 1,248,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,454.25 : 578,961 = 578,961 : x
  2. Step 2: Convert to fraction form
    268,454.25/578,961 = 578,961/x
  3. Step 3: Cross multiply
    268,454.25x = 578,961 × 578,961
  4. Step 4: Simplify right side
    268,454.25x = 335,195,839,521
  5. Step 5: Solve for x
    x = 335,195,839,521/268,454.25
  6. Step 6: Final answer
    x = 1,248,614.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.