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Finding the Third Proportional to 296,267 and 656,593

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Solution

The third proportional to 296,267 and 656,593 is: 1,455,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,267 : 656,593 = 656,593 : x
  2. Step 2: Convert to fraction form
    296,267/656,593 = 656,593/x
  3. Step 3: Cross multiply
    296,267x = 656,593 × 656,593
  4. Step 4: Simplify right side
    296,267x = 431,114,367,649
  5. Step 5: Solve for x
    x = 431,114,367,649/296,267
  6. Step 6: Final answer
    x = 1,455,154.87

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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.