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Finding the Third Proportional to 296,563 and 652,166

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Solution

The third proportional to 296,563 and 652,166 is: 1,434,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,563 : 652,166 = 652,166 : x
  2. Step 2: Convert to fraction form
    296,563/652,166 = 652,166/x
  3. Step 3: Cross multiply
    296,563x = 652,166 × 652,166
  4. Step 4: Simplify right side
    296,563x = 425,320,491,556
  5. Step 5: Solve for x
    x = 425,320,491,556/296,563
  6. Step 6: Final answer
    x = 1,434,165.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.