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Finding the Third Proportional to 317,696 and 466,176

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Solution

The third proportional to 317,696 and 466,176 is: 684,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,696 : 466,176 = 466,176 : x
  2. Step 2: Convert to fraction form
    317,696/466,176 = 466,176/x
  3. Step 3: Cross multiply
    317,696x = 466,176 × 466,176
  4. Step 4: Simplify right side
    317,696x = 217,320,062,976
  5. Step 5: Solve for x
    x = 217,320,062,976/317,696
  6. Step 6: Final answer
    x = 684,050.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.