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Finding the Third Proportional to 302,041 and 479,845.50

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Solution

The third proportional to 302,041 and 479,845.50 is: 762,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,041 : 479,845.50 = 479,845.50 : x
  2. Step 2: Convert to fraction form
    302,041/479,845.50 = 479,845.50/x
  3. Step 3: Cross multiply
    302,041x = 479,845.50 × 479,845.50
  4. Step 4: Simplify right side
    302,041x = 230,251,703,870.25
  5. Step 5: Solve for x
    x = 230,251,703,870.25/302,041
  6. Step 6: Final answer
    x = 762,319.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.