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Finding the Third Proportional to 266,463 and 572,454

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Solution

The third proportional to 266,463 and 572,454 is: 1,229,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,463 : 572,454 = 572,454 : x
  2. Step 2: Convert to fraction form
    266,463/572,454 = 572,454/x
  3. Step 3: Cross multiply
    266,463x = 572,454 × 572,454
  4. Step 4: Simplify right side
    266,463x = 327,703,582,116
  5. Step 5: Solve for x
    x = 327,703,582,116/266,463
  6. Step 6: Final answer
    x = 1,229,827.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.