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Finding the Third Proportional to 317,512 and 431,216

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Solution

The third proportional to 317,512 and 431,216 is: 585,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,512 : 431,216 = 431,216 : x
  2. Step 2: Convert to fraction form
    317,512/431,216 = 431,216/x
  3. Step 3: Cross multiply
    317,512x = 431,216 × 431,216
  4. Step 4: Simplify right side
    317,512x = 185,947,238,656
  5. Step 5: Solve for x
    x = 185,947,238,656/317,512
  6. Step 6: Final answer
    x = 585,638.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.