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Finding the Third Proportional to 422,444.25 and 653,721.75

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Solution

The third proportional to 422,444.25 and 653,721.75 is: 1,011,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,444.25 : 653,721.75 = 653,721.75 : x
  2. Step 2: Convert to fraction form
    422,444.25/653,721.75 = 653,721.75/x
  3. Step 3: Cross multiply
    422,444.25x = 653,721.75 × 653,721.75
  4. Step 4: Simplify right side
    422,444.25x = 427,352,126,423.06
  5. Step 5: Solve for x
    x = 427,352,126,423.06/422,444.25
  6. Step 6: Final answer
    x = 1,011,617.81

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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.