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Finding the Third Proportional to 308,238 and 464,571

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Solution

The third proportional to 308,238 and 464,571 is: 700,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,238 : 464,571 = 464,571 : x
  2. Step 2: Convert to fraction form
    308,238/464,571 = 464,571/x
  3. Step 3: Cross multiply
    308,238x = 464,571 × 464,571
  4. Step 4: Simplify right side
    308,238x = 215,826,214,041
  5. Step 5: Solve for x
    x = 215,826,214,041/308,238
  6. Step 6: Final answer
    x = 700,193.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.