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Finding the Third Proportional to 266,044 and 544,517

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Solution

The third proportional to 266,044 and 544,517 is: 1,114,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,044 : 544,517 = 544,517 : x
  2. Step 2: Convert to fraction form
    266,044/544,517 = 544,517/x
  3. Step 3: Cross multiply
    266,044x = 544,517 × 544,517
  4. Step 4: Simplify right side
    266,044x = 296,498,763,289
  5. Step 5: Solve for x
    x = 296,498,763,289/266,044
  6. Step 6: Final answer
    x = 1,114,472.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.