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Finding the Third Proportional to 310,876 and 687,098.75

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Solution

The third proportional to 310,876 and 687,098.75 is: 1,518,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,876 : 687,098.75 = 687,098.75 : x
  2. Step 2: Convert to fraction form
    310,876/687,098.75 = 687,098.75/x
  3. Step 3: Cross multiply
    310,876x = 687,098.75 × 687,098.75
  4. Step 4: Simplify right side
    310,876x = 472,104,692,251.56
  5. Step 5: Solve for x
    x = 472,104,692,251.56/310,876
  6. Step 6: Final answer
    x = 1,518,627.02

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.