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Finding the Third Proportional to 362,876 and 787,876

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Solution

The third proportional to 362,876 and 787,876 is: 1,710,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,876 : 787,876 = 787,876 : x
  2. Step 2: Convert to fraction form
    362,876/787,876 = 787,876/x
  3. Step 3: Cross multiply
    362,876x = 787,876 × 787,876
  4. Step 4: Simplify right side
    362,876x = 620,748,591,376
  5. Step 5: Solve for x
    x = 620,748,591,376/362,876
  6. Step 6: Final answer
    x = 1,710,635.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.