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Finding the Third Proportional to 305,716.50 and 625,041

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Solution

The third proportional to 305,716.50 and 625,041 is: 1,277,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,716.50 : 625,041 = 625,041 : x
  2. Step 2: Convert to fraction form
    305,716.50/625,041 = 625,041/x
  3. Step 3: Cross multiply
    305,716.50x = 625,041 × 625,041
  4. Step 4: Simplify right side
    305,716.50x = 390,676,251,681
  5. Step 5: Solve for x
    x = 390,676,251,681/305,716.50
  6. Step 6: Final answer
    x = 1,277,903.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.