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Finding the Third Proportional to 447,476 and 650,081

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Solution

The third proportional to 447,476 and 650,081 is: 944,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,476 : 650,081 = 650,081 : x
  2. Step 2: Convert to fraction form
    447,476/650,081 = 650,081/x
  3. Step 3: Cross multiply
    447,476x = 650,081 × 650,081
  4. Step 4: Simplify right side
    447,476x = 422,605,306,561
  5. Step 5: Solve for x
    x = 422,605,306,561/447,476
  6. Step 6: Final answer
    x = 944,420.05

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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.