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Finding the Third Proportional to 332,766 and 498,987

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Solution

The third proportional to 332,766 and 498,987 is: 748,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,766 : 498,987 = 498,987 : x
  2. Step 2: Convert to fraction form
    332,766/498,987 = 498,987/x
  3. Step 3: Cross multiply
    332,766x = 498,987 × 498,987
  4. Step 4: Simplify right side
    332,766x = 248,988,026,169
  5. Step 5: Solve for x
    x = 248,988,026,169/332,766
  6. Step 6: Final answer
    x = 748,237.58

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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.