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Finding the Third Proportional to 220,534 and 324,341

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Solution

The third proportional to 220,534 and 324,341 is: 477,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,534 : 324,341 = 324,341 : x
  2. Step 2: Convert to fraction form
    220,534/324,341 = 324,341/x
  3. Step 3: Cross multiply
    220,534x = 324,341 × 324,341
  4. Step 4: Simplify right side
    220,534x = 105,197,084,281
  5. Step 5: Solve for x
    x = 105,197,084,281/220,534
  6. Step 6: Final answer
    x = 477,010.73

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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.