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Finding the Third Proportional to 301,041 and 464,791.50

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Solution

The third proportional to 301,041 and 464,791.50 is: 717,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,041 : 464,791.50 = 464,791.50 : x
  2. Step 2: Convert to fraction form
    301,041/464,791.50 = 464,791.50/x
  3. Step 3: Cross multiply
    301,041x = 464,791.50 × 464,791.50
  4. Step 4: Simplify right side
    301,041x = 216,031,138,472.25
  5. Step 5: Solve for x
    x = 216,031,138,472.25/301,041
  6. Step 6: Final answer
    x = 717,613.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.