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Finding the Third Proportional to 266,598 and 423,981

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Solution

The third proportional to 266,598 and 423,981 is: 674,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,598 : 423,981 = 423,981 : x
  2. Step 2: Convert to fraction form
    266,598/423,981 = 423,981/x
  3. Step 3: Cross multiply
    266,598x = 423,981 × 423,981
  4. Step 4: Simplify right side
    266,598x = 179,759,888,361
  5. Step 5: Solve for x
    x = 179,759,888,361/266,598
  6. Step 6: Final answer
    x = 674,273.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.