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Finding the Third Proportional to 304,701.75 and 471,565.13

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Solution

The third proportional to 304,701.75 and 471,565.13 is: 729,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,701.75 : 471,565.13 = 471,565.13 : x
  2. Step 2: Convert to fraction form
    304,701.75/471,565.13 = 471,565.13/x
  3. Step 3: Cross multiply
    304,701.75x = 471,565.13 × 471,565.13
  4. Step 4: Simplify right side
    304,701.75x = 222,373,667,116.27
  5. Step 5: Solve for x
    x = 222,373,667,116.27/304,701.75
  6. Step 6: Final answer
    x = 729,807.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.