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Finding the Third Proportional to 332,757 and 498,973

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Solution

The third proportional to 332,757 and 498,973 is: 748,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,757 : 498,973 = 498,973 : x
  2. Step 2: Convert to fraction form
    332,757/498,973 = 498,973/x
  3. Step 3: Cross multiply
    332,757x = 498,973 × 498,973
  4. Step 4: Simplify right side
    332,757x = 248,974,054,729
  5. Step 5: Solve for x
    x = 248,974,054,729/332,757
  6. Step 6: Final answer
    x = 748,215.83

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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.