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Finding the Third Proportional to 194,721 and 420,581

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Solution

The third proportional to 194,721 and 420,581 is: 908,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,721 : 420,581 = 420,581 : x
  2. Step 2: Convert to fraction form
    194,721/420,581 = 420,581/x
  3. Step 3: Cross multiply
    194,721x = 420,581 × 420,581
  4. Step 4: Simplify right side
    194,721x = 176,888,377,561
  5. Step 5: Solve for x
    x = 176,888,377,561/194,721
  6. Step 6: Final answer
    x = 908,419.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.