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Finding the Third Proportional to 266,008 and 574,218

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Solution

The third proportional to 266,008 and 574,218 is: 1,239,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,008 : 574,218 = 574,218 : x
  2. Step 2: Convert to fraction form
    266,008/574,218 = 574,218/x
  3. Step 3: Cross multiply
    266,008x = 574,218 × 574,218
  4. Step 4: Simplify right side
    266,008x = 329,726,311,524
  5. Step 5: Solve for x
    x = 329,726,311,524/266,008
  6. Step 6: Final answer
    x = 1,239,535.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.