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Finding the Third Proportional to 332,586.32 and 513,141.96

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Solution

The third proportional to 332,586.32 and 513,141.96 is: 791,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,586.32 : 513,141.96 = 513,141.96 : x
  2. Step 2: Convert to fraction form
    332,586.32/513,141.96 = 513,141.96/x
  3. Step 3: Cross multiply
    332,586.32x = 513,141.96 × 513,141.96
  4. Step 4: Simplify right side
    332,586.32x = 263,314,672,074.78
  5. Step 5: Solve for x
    x = 263,314,672,074.78/332,586.32
  6. Step 6: Final answer
    x = 791,718.30

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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.