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Finding the Third Proportional to 260,344.13 and 393,781.50

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Solution

The third proportional to 260,344.13 and 393,781.50 is: 595,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,344.13 : 393,781.50 = 393,781.50 : x
  2. Step 2: Convert to fraction form
    260,344.13/393,781.50 = 393,781.50/x
  3. Step 3: Cross multiply
    260,344.13x = 393,781.50 × 393,781.50
  4. Step 4: Simplify right side
    260,344.13x = 155,063,869,742.25
  5. Step 5: Solve for x
    x = 155,063,869,742.25/260,344.13
  6. Step 6: Final answer
    x = 595,611.17

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Why These Related Problems?

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