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Finding the Third Proportional to 518,962 and 663,126

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Solution

The third proportional to 518,962 and 663,126 is: 847,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,962 : 663,126 = 663,126 : x
  2. Step 2: Convert to fraction form
    518,962/663,126 = 663,126/x
  3. Step 3: Cross multiply
    518,962x = 663,126 × 663,126
  4. Step 4: Simplify right side
    518,962x = 439,736,091,876
  5. Step 5: Solve for x
    x = 439,736,091,876/518,962
  6. Step 6: Final answer
    x = 847,337.75

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.