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Finding the Third Proportional to 332,707.50 and 521,245.13

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Solution

The third proportional to 332,707.50 and 521,245.13 is: 816,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,707.50 : 521,245.13 = 521,245.13 : x
  2. Step 2: Convert to fraction form
    332,707.50/521,245.13 = 521,245.13/x
  3. Step 3: Cross multiply
    332,707.50x = 521,245.13 × 521,245.13
  4. Step 4: Simplify right side
    332,707.50x = 271,696,480,336.27
  5. Step 5: Solve for x
    x = 271,696,480,336.27/332,707.50
  6. Step 6: Final answer
    x = 816,622.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.