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Finding the Third Proportional to 364.13 and 789.63

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Solution

The third proportional to 364.13 and 789.63 is: 1,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 789.63 = 789.63 : x
  2. Step 2: Convert to fraction form
    364.13/789.63 = 789.63/x
  3. Step 3: Cross multiply
    364.13x = 789.63 × 789.63
  4. Step 4: Simplify right side
    364.13x = 623,507.64
  5. Step 5: Solve for x
    x = 623,507.64/364.13
  6. Step 6: Final answer
    x = 1,712.35

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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.