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Finding the Third Proportional to 312,325 and 467,629

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Solution

The third proportional to 312,325 and 467,629 is: 700,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,325 : 467,629 = 467,629 : x
  2. Step 2: Convert to fraction form
    312,325/467,629 = 467,629/x
  3. Step 3: Cross multiply
    312,325x = 467,629 × 467,629
  4. Step 4: Simplify right side
    312,325x = 218,676,881,641
  5. Step 5: Solve for x
    x = 218,676,881,641/312,325
  6. Step 6: Final answer
    x = 700,158.11

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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.