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Finding the Third Proportional to 230,559.75 and 495,565.88

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Solution

The third proportional to 230,559.75 and 495,565.88 is: 1,065,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,559.75 : 495,565.88 = 495,565.88 : x
  2. Step 2: Convert to fraction form
    230,559.75/495,565.88 = 495,565.88/x
  3. Step 3: Cross multiply
    230,559.75x = 495,565.88 × 495,565.88
  4. Step 4: Simplify right side
    230,559.75x = 245,585,536,464.52
  5. Step 5: Solve for x
    x = 245,585,536,464.52/230,559.75
  6. Step 6: Final answer
    x = 1,065,170.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.