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Finding the Third Proportional to 266,034 and 544,497

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Solution

The third proportional to 266,034 and 544,497 is: 1,114,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,034 : 544,497 = 544,497 : x
  2. Step 2: Convert to fraction form
    266,034/544,497 = 544,497/x
  3. Step 3: Cross multiply
    266,034x = 544,497 × 544,497
  4. Step 4: Simplify right side
    266,034x = 296,476,983,009
  5. Step 5: Solve for x
    x = 296,476,983,009/266,034
  6. Step 6: Final answer
    x = 1,114,432.68

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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.