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Finding the Third Proportional to 313,892 and 456,250

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Solution

The third proportional to 313,892 and 456,250 is: 663,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892 : 456,250 = 456,250 : x
  2. Step 2: Convert to fraction form
    313,892/456,250 = 456,250/x
  3. Step 3: Cross multiply
    313,892x = 456,250 × 456,250
  4. Step 4: Simplify right side
    313,892x = 208,164,062,500
  5. Step 5: Solve for x
    x = 208,164,062,500/313,892
  6. Step 6: Final answer
    x = 663,170.97

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.