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Finding the Third Proportional to 266,024 and 574,252

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Solution

The third proportional to 266,024 and 574,252 is: 1,239,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,024 : 574,252 = 574,252 : x
  2. Step 2: Convert to fraction form
    266,024/574,252 = 574,252/x
  3. Step 3: Cross multiply
    266,024x = 574,252 × 574,252
  4. Step 4: Simplify right side
    266,024x = 329,765,359,504
  5. Step 5: Solve for x
    x = 329,765,359,504/266,024
  6. Step 6: Final answer
    x = 1,239,607.55

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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.