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Finding the Third Proportional to 266,924 and 580,432

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Solution

The third proportional to 266,924 and 580,432 is: 1,262,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,924 : 580,432 = 580,432 : x
  2. Step 2: Convert to fraction form
    266,924/580,432 = 580,432/x
  3. Step 3: Cross multiply
    266,924x = 580,432 × 580,432
  4. Step 4: Simplify right side
    266,924x = 336,901,306,624
  5. Step 5: Solve for x
    x = 336,901,306,624/266,924
  6. Step 6: Final answer
    x = 1,262,161.91

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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.