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Finding the Third Proportional to 427,404 and 664,419.75

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Solution

The third proportional to 427,404 and 664,419.75 is: 1,032,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,404 : 664,419.75 = 664,419.75 : x
  2. Step 2: Convert to fraction form
    427,404/664,419.75 = 664,419.75/x
  3. Step 3: Cross multiply
    427,404x = 664,419.75 × 664,419.75
  4. Step 4: Simplify right side
    427,404x = 441,453,604,190.06
  5. Step 5: Solve for x
    x = 441,453,604,190.06/427,404
  6. Step 6: Final answer
    x = 1,032,871.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.