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Finding the Third Proportional to 320,530.50 and 685,530

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Solution

The third proportional to 320,530.50 and 685,530 is: 1,466,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,530.50 : 685,530 = 685,530 : x
  2. Step 2: Convert to fraction form
    320,530.50/685,530 = 685,530/x
  3. Step 3: Cross multiply
    320,530.50x = 685,530 × 685,530
  4. Step 4: Simplify right side
    320,530.50x = 469,951,380,900
  5. Step 5: Solve for x
    x = 469,951,380,900/320,530.50
  6. Step 6: Final answer
    x = 1,466,167.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.