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Finding the Third Proportional to 332,026 and 498,379

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Solution

The third proportional to 332,026 and 498,379 is: 748,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,026 : 498,379 = 498,379 : x
  2. Step 2: Convert to fraction form
    332,026/498,379 = 498,379/x
  3. Step 3: Cross multiply
    332,026x = 498,379 × 498,379
  4. Step 4: Simplify right side
    332,026x = 248,381,627,641
  5. Step 5: Solve for x
    x = 248,381,627,641/332,026
  6. Step 6: Final answer
    x = 748,078.85

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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.