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Finding the Third Proportional to 332,242.88 and 511,304.06

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Solution

The third proportional to 332,242.88 and 511,304.06 is: 786,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,242.88 : 511,304.06 = 511,304.06 : x
  2. Step 2: Convert to fraction form
    332,242.88/511,304.06 = 511,304.06/x
  3. Step 3: Cross multiply
    332,242.88x = 511,304.06 × 511,304.06
  4. Step 4: Simplify right side
    332,242.88x = 261,431,844,329.00
  5. Step 5: Solve for x
    x = 261,431,844,329.00/332,242.88
  6. Step 6: Final answer
    x = 786,869.68

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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.