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Finding the Third Proportional to 307,606 and 658,950

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Solution

The third proportional to 307,606 and 658,950 is: 1,411,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,606 : 658,950 = 658,950 : x
  2. Step 2: Convert to fraction form
    307,606/658,950 = 658,950/x
  3. Step 3: Cross multiply
    307,606x = 658,950 × 658,950
  4. Step 4: Simplify right side
    307,606x = 434,215,102,500
  5. Step 5: Solve for x
    x = 434,215,102,500/307,606
  6. Step 6: Final answer
    x = 1,411,595.04

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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.