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Finding the Third Proportional to 313,664 and 498,471

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Solution

The third proportional to 313,664 and 498,471 is: 792,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,664 : 498,471 = 498,471 : x
  2. Step 2: Convert to fraction form
    313,664/498,471 = 498,471/x
  3. Step 3: Cross multiply
    313,664x = 498,471 × 498,471
  4. Step 4: Simplify right side
    313,664x = 248,473,337,841
  5. Step 5: Solve for x
    x = 248,473,337,841/313,664
  6. Step 6: Final answer
    x = 792,164.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.