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Finding the Third Proportional to 451,680.75 and 619,366.50

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Solution

The third proportional to 451,680.75 and 619,366.50 is: 849,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,680.75 : 619,366.50 = 619,366.50 : x
  2. Step 2: Convert to fraction form
    451,680.75/619,366.50 = 619,366.50/x
  3. Step 3: Cross multiply
    451,680.75x = 619,366.50 × 619,366.50
  4. Step 4: Simplify right side
    451,680.75x = 383,614,861,322.25
  5. Step 5: Solve for x
    x = 383,614,861,322.25/451,680.75
  6. Step 6: Final answer
    x = 849,305.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.