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Finding the Third Proportional to 326,357 and 498,916

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Solution

The third proportional to 326,357 and 498,916 is: 762,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,357 : 498,916 = 498,916 : x
  2. Step 2: Convert to fraction form
    326,357/498,916 = 498,916/x
  3. Step 3: Cross multiply
    326,357x = 498,916 × 498,916
  4. Step 4: Simplify right side
    326,357x = 248,917,175,056
  5. Step 5: Solve for x
    x = 248,917,175,056/326,357
  6. Step 6: Final answer
    x = 762,714.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.