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Finding the Third Proportional to 266,032 and 544,494

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Solution

The third proportional to 266,032 and 544,494 is: 1,114,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,032 : 544,494 = 544,494 : x
  2. Step 2: Convert to fraction form
    266,032/544,494 = 544,494/x
  3. Step 3: Cross multiply
    266,032x = 544,494 × 544,494
  4. Step 4: Simplify right side
    266,032x = 296,473,716,036
  5. Step 5: Solve for x
    x = 296,473,716,036/266,032
  6. Step 6: Final answer
    x = 1,114,428.78

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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.