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Finding the Third Proportional to 428,565.50 and 640,745

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Solution

The third proportional to 428,565.50 and 640,745 is: 957,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,565.50 : 640,745 = 640,745 : x
  2. Step 2: Convert to fraction form
    428,565.50/640,745 = 640,745/x
  3. Step 3: Cross multiply
    428,565.50x = 640,745 × 640,745
  4. Step 4: Simplify right side
    428,565.50x = 410,554,155,025
  5. Step 5: Solve for x
    x = 410,554,155,025/428,565.50
  6. Step 6: Final answer
    x = 957,972.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.