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Finding the Third Proportional to 367,012.97 and 561,488.63

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Solution

The third proportional to 367,012.97 and 561,488.63 is: 859,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,012.97 : 561,488.63 = 561,488.63 : x
  2. Step 2: Convert to fraction form
    367,012.97/561,488.63 = 561,488.63/x
  3. Step 3: Cross multiply
    367,012.97x = 561,488.63 × 561,488.63
  4. Step 4: Simplify right side
    367,012.97x = 315,269,476,004.39
  5. Step 5: Solve for x
    x = 315,269,476,004.39/367,012.97
  6. Step 6: Final answer
    x = 859,014.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.