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Finding the Third Proportional to 313,992 and 654,552

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Solution

The third proportional to 313,992 and 654,552 is: 1,364,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,992 : 654,552 = 654,552 : x
  2. Step 2: Convert to fraction form
    313,992/654,552 = 654,552/x
  3. Step 3: Cross multiply
    313,992x = 654,552 × 654,552
  4. Step 4: Simplify right side
    313,992x = 428,438,320,704
  5. Step 5: Solve for x
    x = 428,438,320,704/313,992
  6. Step 6: Final answer
    x = 1,364,488.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.