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Finding the Third Proportional to 263,260.13 and 418,947.19

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Solution

The third proportional to 263,260.13 and 418,947.19 is: 666,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 418,947.19 = 418,947.19 : x
  2. Step 2: Convert to fraction form
    263,260.13/418,947.19 = 418,947.19/x
  3. Step 3: Cross multiply
    263,260.13x = 418,947.19 × 418,947.19
  4. Step 4: Simplify right side
    263,260.13x = 175,516,745,914.16
  5. Step 5: Solve for x
    x = 175,516,745,914.16/263,260.13
  6. Step 6: Final answer
    x = 666,704.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.