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Finding the Third Proportional to 451,701.75 and 619,400.25

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Solution

The third proportional to 451,701.75 and 619,400.25 is: 849,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,701.75 : 619,400.25 = 619,400.25 : x
  2. Step 2: Convert to fraction form
    451,701.75/619,400.25 = 619,400.25/x
  3. Step 3: Cross multiply
    451,701.75x = 619,400.25 × 619,400.25
  4. Step 4: Simplify right side
    451,701.75x = 383,656,669,700.06
  5. Step 5: Solve for x
    x = 383,656,669,700.06/451,701.75
  6. Step 6: Final answer
    x = 849,358.39

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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.