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Finding the Third Proportional to 422,884.13 and 654,515.44

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Solution

The third proportional to 422,884.13 and 654,515.44 is: 1,013,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,884.13 : 654,515.44 = 654,515.44 : x
  2. Step 2: Convert to fraction form
    422,884.13/654,515.44 = 654,515.44/x
  3. Step 3: Cross multiply
    422,884.13x = 654,515.44 × 654,515.44
  4. Step 4: Simplify right side
    422,884.13x = 428,390,457,925.82
  5. Step 5: Solve for x
    x = 428,390,457,925.82/422,884.13
  6. Step 6: Final answer
    x = 1,013,020.90

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Why These Related Problems?

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