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Finding the Third Proportional to 332,157 and 515,734.50

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Solution

The third proportional to 332,157 and 515,734.50 is: 800,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,157 : 515,734.50 = 515,734.50 : x
  2. Step 2: Convert to fraction form
    332,157/515,734.50 = 515,734.50/x
  3. Step 3: Cross multiply
    332,157x = 515,734.50 × 515,734.50
  4. Step 4: Simplify right side
    332,157x = 265,982,074,490.25
  5. Step 5: Solve for x
    x = 265,982,074,490.25/332,157
  6. Step 6: Final answer
    x = 800,772.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.