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Finding the Third Proportional to 320,500 and 464,214

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Solution

The third proportional to 320,500 and 464,214 is: 672,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,500 : 464,214 = 464,214 : x
  2. Step 2: Convert to fraction form
    320,500/464,214 = 464,214/x
  3. Step 3: Cross multiply
    320,500x = 464,214 × 464,214
  4. Step 4: Simplify right side
    320,500x = 215,494,637,796
  5. Step 5: Solve for x
    x = 215,494,637,796/320,500
  6. Step 6: Final answer
    x = 672,370.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.