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Finding the Third Proportional to 385,159.50 and 759,930.75

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Solution

The third proportional to 385,159.50 and 759,930.75 is: 1,499,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,159.50 : 759,930.75 = 759,930.75 : x
  2. Step 2: Convert to fraction form
    385,159.50/759,930.75 = 759,930.75/x
  3. Step 3: Cross multiply
    385,159.50x = 759,930.75 × 759,930.75
  4. Step 4: Simplify right side
    385,159.50x = 577,494,744,795.56
  5. Step 5: Solve for x
    x = 577,494,744,795.56/385,159.50
  6. Step 6: Final answer
    x = 1,499,365.18

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.