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Finding the Third Proportional to 197,049 and 423,663

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Solution

The third proportional to 197,049 and 423,663 is: 910,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,049 : 423,663 = 423,663 : x
  2. Step 2: Convert to fraction form
    197,049/423,663 = 423,663/x
  3. Step 3: Cross multiply
    197,049x = 423,663 × 423,663
  4. Step 4: Simplify right side
    197,049x = 179,490,337,569
  5. Step 5: Solve for x
    x = 179,490,337,569/197,049
  6. Step 6: Final answer
    x = 910,891.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.