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Finding the Third Proportional to 296,505 and 652,059

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Solution

The third proportional to 296,505 and 652,059 is: 1,433,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,505 : 652,059 = 652,059 : x
  2. Step 2: Convert to fraction form
    296,505/652,059 = 652,059/x
  3. Step 3: Cross multiply
    296,505x = 652,059 × 652,059
  4. Step 4: Simplify right side
    296,505x = 425,180,939,481
  5. Step 5: Solve for x
    x = 425,180,939,481/296,505
  6. Step 6: Final answer
    x = 1,433,975.61

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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.