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Finding the Third Proportional to 364.53 and 789.81

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Solution

The third proportional to 364.53 and 789.81 is: 1,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.53 : 789.81 = 789.81 : x
  2. Step 2: Convert to fraction form
    364.53/789.81 = 789.81/x
  3. Step 3: Cross multiply
    364.53x = 789.81 × 789.81
  4. Step 4: Simplify right side
    364.53x = 623,803.79
  5. Step 5: Solve for x
    x = 623,803.79/364.53
  6. Step 6: Final answer
    x = 1,711.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.