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Finding the Third Proportional to 447,464.25 and 650,065.50

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Solution

The third proportional to 447,464.25 and 650,065.50 is: 944,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,464.25 : 650,065.50 = 650,065.50 : x
  2. Step 2: Convert to fraction form
    447,464.25/650,065.50 = 650,065.50/x
  3. Step 3: Cross multiply
    447,464.25x = 650,065.50 × 650,065.50
  4. Step 4: Simplify right side
    447,464.25x = 422,585,154,290.25
  5. Step 5: Solve for x
    x = 422,585,154,290.25/447,464.25
  6. Step 6: Final answer
    x = 944,399.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.