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Finding the Third Proportional to 224,565.75 and 485,114.06

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Solution

The third proportional to 224,565.75 and 485,114.06 is: 1,047,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,565.75 : 485,114.06 = 485,114.06 : x
  2. Step 2: Convert to fraction form
    224,565.75/485,114.06 = 485,114.06/x
  3. Step 3: Cross multiply
    224,565.75x = 485,114.06 × 485,114.06
  4. Step 4: Simplify right side
    224,565.75x = 235,335,653,635.25
  5. Step 5: Solve for x
    x = 235,335,653,635.25/224,565.75
  6. Step 6: Final answer
    x = 1,047,958.80

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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.