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Finding the Third Proportional to 332,243 and 498,262

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Solution

The third proportional to 332,243 and 498,262 is: 747,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,243 : 498,262 = 498,262 : x
  2. Step 2: Convert to fraction form
    332,243/498,262 = 498,262/x
  3. Step 3: Cross multiply
    332,243x = 498,262 × 498,262
  4. Step 4: Simplify right side
    332,243x = 248,265,020,644
  5. Step 5: Solve for x
    x = 248,265,020,644/332,243
  6. Step 6: Final answer
    x = 747,239.28

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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.