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Finding the Third Proportional to 317,223 and 491,940

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Solution

The third proportional to 317,223 and 491,940 is: 762,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,223 : 491,940 = 491,940 : x
  2. Step 2: Convert to fraction form
    317,223/491,940 = 491,940/x
  3. Step 3: Cross multiply
    317,223x = 491,940 × 491,940
  4. Step 4: Simplify right side
    317,223x = 242,004,963,600
  5. Step 5: Solve for x
    x = 242,004,963,600/317,223
  6. Step 6: Final answer
    x = 762,885.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.