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Finding the Third Proportional to 266,573 and 592,195

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Solution

The third proportional to 266,573 and 592,195 is: 1,315,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,573 : 592,195 = 592,195 : x
  2. Step 2: Convert to fraction form
    266,573/592,195 = 592,195/x
  3. Step 3: Cross multiply
    266,573x = 592,195 × 592,195
  4. Step 4: Simplify right side
    266,573x = 350,694,918,025
  5. Step 5: Solve for x
    x = 350,694,918,025/266,573
  6. Step 6: Final answer
    x = 1,315,568.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.