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Finding the Third Proportional to 317,392 and 421,224

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Solution

The third proportional to 317,392 and 421,224 is: 559,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,392 : 421,224 = 421,224 : x
  2. Step 2: Convert to fraction form
    317,392/421,224 = 421,224/x
  3. Step 3: Cross multiply
    317,392x = 421,224 × 421,224
  4. Step 4: Simplify right side
    317,392x = 177,429,658,176
  5. Step 5: Solve for x
    x = 177,429,658,176/317,392
  6. Step 6: Final answer
    x = 559,023.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.