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Finding the Third Proportional to 332,682 and 516,094.50

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Solution

The third proportional to 332,682 and 516,094.50 is: 800,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,682 : 516,094.50 = 516,094.50 : x
  2. Step 2: Convert to fraction form
    332,682/516,094.50 = 516,094.50/x
  3. Step 3: Cross multiply
    332,682x = 516,094.50 × 516,094.50
  4. Step 4: Simplify right side
    332,682x = 266,353,532,930.25
  5. Step 5: Solve for x
    x = 266,353,532,930.25/332,682
  6. Step 6: Final answer
    x = 800,625.02

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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.