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Finding the Third Proportional to 312,277 and 467,562

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Solution

The third proportional to 312,277 and 467,562 is: 700,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,277 : 467,562 = 467,562 : x
  2. Step 2: Convert to fraction form
    312,277/467,562 = 467,562/x
  3. Step 3: Cross multiply
    312,277x = 467,562 × 467,562
  4. Step 4: Simplify right side
    312,277x = 218,614,223,844
  5. Step 5: Solve for x
    x = 218,614,223,844/312,277
  6. Step 6: Final answer
    x = 700,065.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.