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Finding the Third Proportional to 447,473.50 and 650,078

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Solution

The third proportional to 447,473.50 and 650,078 is: 944,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,473.50 : 650,078 = 650,078 : x
  2. Step 2: Convert to fraction form
    447,473.50/650,078 = 650,078/x
  3. Step 3: Cross multiply
    447,473.50x = 650,078 × 650,078
  4. Step 4: Simplify right side
    447,473.50x = 422,601,406,084
  5. Step 5: Solve for x
    x = 422,601,406,084/447,473.50
  6. Step 6: Final answer
    x = 944,416.61

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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.