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Finding the Third Proportional to 266,020 and 574,244

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Solution

The third proportional to 266,020 and 574,244 is: 1,239,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,020 : 574,244 = 574,244 : x
  2. Step 2: Convert to fraction form
    266,020/574,244 = 574,244/x
  3. Step 3: Cross multiply
    266,020x = 574,244 × 574,244
  4. Step 4: Simplify right side
    266,020x = 329,756,171,536
  5. Step 5: Solve for x
    x = 329,756,171,536/266,020
  6. Step 6: Final answer
    x = 1,239,591.65

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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.