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Finding the Third Proportional to 332,750 and 498,963

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Solution

The third proportional to 332,750 and 498,963 is: 748,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,750 : 498,963 = 498,963 : x
  2. Step 2: Convert to fraction form
    332,750/498,963 = 498,963/x
  3. Step 3: Cross multiply
    332,750x = 498,963 × 498,963
  4. Step 4: Simplify right side
    332,750x = 248,964,075,369
  5. Step 5: Solve for x
    x = 248,964,075,369/332,750
  6. Step 6: Final answer
    x = 748,201.58

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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.