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Finding the Third Proportional to 351,060.75 and 718,758.56

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Solution

The third proportional to 351,060.75 and 718,758.56 is: 1,471,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,060.75 : 718,758.56 = 718,758.56 : x
  2. Step 2: Convert to fraction form
    351,060.75/718,758.56 = 718,758.56/x
  3. Step 3: Cross multiply
    351,060.75x = 718,758.56 × 718,758.56
  4. Step 4: Simplify right side
    351,060.75x = 516,613,871,167.07
  5. Step 5: Solve for x
    x = 516,613,871,167.07/351,060.75
  6. Step 6: Final answer
    x = 1,471,579.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.