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Finding the Third Proportional to 451,622.25 and 619,287.75

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Solution

The third proportional to 451,622.25 and 619,287.75 is: 849,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,622.25 : 619,287.75 = 619,287.75 : x
  2. Step 2: Convert to fraction form
    451,622.25/619,287.75 = 619,287.75/x
  3. Step 3: Cross multiply
    451,622.25x = 619,287.75 × 619,287.75
  4. Step 4: Simplify right side
    451,622.25x = 383,517,317,300.06
  5. Step 5: Solve for x
    x = 383,517,317,300.06/451,622.25
  6. Step 6: Final answer
    x = 849,199.34

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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.