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Finding the Third Proportional to 302,308.50 and 659,049

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Solution

The third proportional to 302,308.50 and 659,049 is: 1,436,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,308.50 : 659,049 = 659,049 : x
  2. Step 2: Convert to fraction form
    302,308.50/659,049 = 659,049/x
  3. Step 3: Cross multiply
    302,308.50x = 659,049 × 659,049
  4. Step 4: Simplify right side
    302,308.50x = 434,345,584,401
  5. Step 5: Solve for x
    x = 434,345,584,401/302,308.50
  6. Step 6: Final answer
    x = 1,436,762.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.