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Finding the Third Proportional to 266,466 and 409,582

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Solution

The third proportional to 266,466 and 409,582 is: 629,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,466 : 409,582 = 409,582 : x
  2. Step 2: Convert to fraction form
    266,466/409,582 = 409,582/x
  3. Step 3: Cross multiply
    266,466x = 409,582 × 409,582
  4. Step 4: Simplify right side
    266,466x = 167,757,414,724
  5. Step 5: Solve for x
    x = 167,757,414,724/266,466
  6. Step 6: Final answer
    x = 629,564.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.