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Finding the Third Proportional to 296,566 and 652,170

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Solution

The third proportional to 296,566 and 652,170 is: 1,434,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,566 : 652,170 = 652,170 : x
  2. Step 2: Convert to fraction form
    296,566/652,170 = 652,170/x
  3. Step 3: Cross multiply
    296,566x = 652,170 × 652,170
  4. Step 4: Simplify right side
    296,566x = 425,325,708,900
  5. Step 5: Solve for x
    x = 425,325,708,900/296,566
  6. Step 6: Final answer
    x = 1,434,168.82

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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.