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Finding the Third Proportional to 364.78 and 800.44

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Solution

The third proportional to 364.78 and 800.44 is: 1,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 800.44 = 800.44 : x
  2. Step 2: Convert to fraction form
    364.78/800.44 = 800.44/x
  3. Step 3: Cross multiply
    364.78x = 800.44 × 800.44
  4. Step 4: Simplify right side
    364.78x = 640,700.19
  5. Step 5: Solve for x
    x = 640,700.19/364.78
  6. Step 6: Final answer
    x = 1,756.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.