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Finding the Third Proportional to 260,685 and 393,795

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Solution

The third proportional to 260,685 and 393,795 is: 594,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,685 : 393,795 = 393,795 : x
  2. Step 2: Convert to fraction form
    260,685/393,795 = 393,795/x
  3. Step 3: Cross multiply
    260,685x = 393,795 × 393,795
  4. Step 4: Simplify right side
    260,685x = 155,074,502,025
  5. Step 5: Solve for x
    x = 155,074,502,025/260,685
  6. Step 6: Final answer
    x = 594,873.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.