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Finding the Third Proportional to 266,040 and 544,509

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Solution

The third proportional to 266,040 and 544,509 is: 1,114,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,040 : 544,509 = 544,509 : x
  2. Step 2: Convert to fraction form
    266,040/544,509 = 544,509/x
  3. Step 3: Cross multiply
    266,040x = 544,509 × 544,509
  4. Step 4: Simplify right side
    266,040x = 296,490,051,081
  5. Step 5: Solve for x
    x = 296,490,051,081/266,040
  6. Step 6: Final answer
    x = 1,114,456.66

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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.