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Finding the Third Proportional to 332,526.75 and 714,942.75

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Solution

The third proportional to 332,526.75 and 714,942.75 is: 1,537,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,526.75 : 714,942.75 = 714,942.75 : x
  2. Step 2: Convert to fraction form
    332,526.75/714,942.75 = 714,942.75/x
  3. Step 3: Cross multiply
    332,526.75x = 714,942.75 × 714,942.75
  4. Step 4: Simplify right side
    332,526.75x = 511,143,135,777.56
  5. Step 5: Solve for x
    x = 511,143,135,777.56/332,526.75
  6. Step 6: Final answer
    x = 1,537,148.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.