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Finding the Third Proportional to 332,632 and 511,248

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Solution

The third proportional to 332,632 and 511,248 is: 785,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,632 : 511,248 = 511,248 : x
  2. Step 2: Convert to fraction form
    332,632/511,248 = 511,248/x
  3. Step 3: Cross multiply
    332,632x = 511,248 × 511,248
  4. Step 4: Simplify right side
    332,632x = 261,374,517,504
  5. Step 5: Solve for x
    x = 261,374,517,504/332,632
  6. Step 6: Final answer
    x = 785,776.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.