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Finding the Third Proportional to 296,480.25 and 652,002.75

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Solution

The third proportional to 296,480.25 and 652,002.75 is: 1,433,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,480.25 : 652,002.75 = 652,002.75 : x
  2. Step 2: Convert to fraction form
    296,480.25/652,002.75 = 652,002.75/x
  3. Step 3: Cross multiply
    296,480.25x = 652,002.75 × 652,002.75
  4. Step 4: Simplify right side
    296,480.25x = 425,107,586,007.56
  5. Step 5: Solve for x
    x = 425,107,586,007.56/296,480.25
  6. Step 6: Final answer
    x = 1,433,847.91

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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.