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Finding the Third Proportional to 317,718 and 466,848

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Solution

The third proportional to 317,718 and 466,848 is: 685,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,718 : 466,848 = 466,848 : x
  2. Step 2: Convert to fraction form
    317,718/466,848 = 466,848/x
  3. Step 3: Cross multiply
    317,718x = 466,848 × 466,848
  4. Step 4: Simplify right side
    317,718x = 217,947,055,104
  5. Step 5: Solve for x
    x = 217,947,055,104/317,718
  6. Step 6: Final answer
    x = 685,976.42

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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.