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Finding the Third Proportional to 512,613 and 1,186,708.50

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Solution

The third proportional to 512,613 and 1,186,708.50 is: 2,747,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,613 : 1,186,708.50 = 1,186,708.50 : x
  2. Step 2: Convert to fraction form
    512,613/1,186,708.50 = 1,186,708.50/x
  3. Step 3: Cross multiply
    512,613x = 1,186,708.50 × 1,186,708.50
  4. Step 4: Simplify right side
    512,613x = 1,408,277,063,972.25
  5. Step 5: Solve for x
    x = 1,408,277,063,972.25/512,613
  6. Step 6: Final answer
    x = 2,747,251.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.