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Finding the Third Proportional to 332,241.75 and 511,302.38

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Solution

The third proportional to 332,241.75 and 511,302.38 is: 786,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,241.75 : 511,302.38 = 511,302.38 : x
  2. Step 2: Convert to fraction form
    332,241.75/511,302.38 = 511,302.38/x
  3. Step 3: Cross multiply
    332,241.75x = 511,302.38 × 511,302.38
  4. Step 4: Simplify right side
    332,241.75x = 261,430,118,680.64
  5. Step 5: Solve for x
    x = 261,430,118,680.64/332,241.75
  6. Step 6: Final answer
    x = 786,867.15

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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.