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Finding the Third Proportional to 335,279.25 and 653,700.38

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Solution

The third proportional to 335,279.25 and 653,700.38 is: 1,274,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,279.25 : 653,700.38 = 653,700.38 : x
  2. Step 2: Convert to fraction form
    335,279.25/653,700.38 = 653,700.38/x
  3. Step 3: Cross multiply
    335,279.25x = 653,700.38 × 653,700.38
  4. Step 4: Simplify right side
    335,279.25x = 427,324,180,275.14
  5. Step 5: Solve for x
    x = 427,324,180,275.14/335,279.25
  6. Step 6: Final answer
    x = 1,274,532.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.