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Finding the Third Proportional to 316,876 and 494,754

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Solution

The third proportional to 316,876 and 494,754 is: 772,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,876 : 494,754 = 494,754 : x
  2. Step 2: Convert to fraction form
    316,876/494,754 = 494,754/x
  3. Step 3: Cross multiply
    316,876x = 494,754 × 494,754
  4. Step 4: Simplify right side
    316,876x = 244,781,520,516
  5. Step 5: Solve for x
    x = 244,781,520,516/316,876
  6. Step 6: Final answer
    x = 772,483.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.