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Finding the Third Proportional to 307,600.50 and 658,941

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Solution

The third proportional to 307,600.50 and 658,941 is: 1,411,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,600.50 : 658,941 = 658,941 : x
  2. Step 2: Convert to fraction form
    307,600.50/658,941 = 658,941/x
  3. Step 3: Cross multiply
    307,600.50x = 658,941 × 658,941
  4. Step 4: Simplify right side
    307,600.50x = 434,203,241,481
  5. Step 5: Solve for x
    x = 434,203,241,481/307,600.50
  6. Step 6: Final answer
    x = 1,411,581.72

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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.