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Finding the Third Proportional to 266,834 and 577,952

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Solution

The third proportional to 266,834 and 577,952 is: 1,251,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,834 : 577,952 = 577,952 : x
  2. Step 2: Convert to fraction form
    266,834/577,952 = 577,952/x
  3. Step 3: Cross multiply
    266,834x = 577,952 × 577,952
  4. Step 4: Simplify right side
    266,834x = 334,028,514,304
  5. Step 5: Solve for x
    x = 334,028,514,304/266,834
  6. Step 6: Final answer
    x = 1,251,821.41

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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.