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Finding the Third Proportional to 296,561 and 652,162

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Solution

The third proportional to 296,561 and 652,162 is: 1,434,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,561 : 652,162 = 652,162 : x
  2. Step 2: Convert to fraction form
    296,561/652,162 = 652,162/x
  3. Step 3: Cross multiply
    296,561x = 652,162 × 652,162
  4. Step 4: Simplify right side
    296,561x = 425,315,274,244
  5. Step 5: Solve for x
    x = 425,315,274,244/296,561
  6. Step 6: Final answer
    x = 1,434,157.81

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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.