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Finding the Third Proportional to 266,048 and 544,524

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Solution

The third proportional to 266,048 and 544,524 is: 1,114,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,048 : 544,524 = 544,524 : x
  2. Step 2: Convert to fraction form
    266,048/544,524 = 544,524/x
  3. Step 3: Cross multiply
    266,048x = 544,524 × 544,524
  4. Step 4: Simplify right side
    266,048x = 296,506,386,576
  5. Step 5: Solve for x
    x = 296,506,386,576/266,048
  6. Step 6: Final answer
    x = 1,114,484.55

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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.