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Finding the Third Proportional to 266,348 and 577,048

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Solution

The third proportional to 266,348 and 577,048 is: 1,250,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,348 : 577,048 = 577,048 : x
  2. Step 2: Convert to fraction form
    266,348/577,048 = 577,048/x
  3. Step 3: Cross multiply
    266,348x = 577,048 × 577,048
  4. Step 4: Simplify right side
    266,348x = 332,984,394,304
  5. Step 5: Solve for x
    x = 332,984,394,304/266,348
  6. Step 6: Final answer
    x = 1,250,185.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.