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Finding the Third Proportional to 296,424 and 659,166

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Solution

The third proportional to 296,424 and 659,166 is: 1,465,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,424 : 659,166 = 659,166 : x
  2. Step 2: Convert to fraction form
    296,424/659,166 = 659,166/x
  3. Step 3: Cross multiply
    296,424x = 659,166 × 659,166
  4. Step 4: Simplify right side
    296,424x = 434,499,815,556
  5. Step 5: Solve for x
    x = 434,499,815,556/296,424
  6. Step 6: Final answer
    x = 1,465,805.12

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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.