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Finding the Third Proportional to 310,540 and 467,366

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Solution

The third proportional to 310,540 and 467,366 is: 703,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,540 : 467,366 = 467,366 : x
  2. Step 2: Convert to fraction form
    310,540/467,366 = 467,366/x
  3. Step 3: Cross multiply
    310,540x = 467,366 × 467,366
  4. Step 4: Simplify right side
    310,540x = 218,430,977,956
  5. Step 5: Solve for x
    x = 218,430,977,956/310,540
  6. Step 6: Final answer
    x = 703,390.80

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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.