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Finding the Third Proportional to 364.78 and 556.45

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Solution

The third proportional to 364.78 and 556.45 is: 848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 556.45 = 556.45 : x
  2. Step 2: Convert to fraction form
    364.78/556.45 = 556.45/x
  3. Step 3: Cross multiply
    364.78x = 556.45 × 556.45
  4. Step 4: Simplify right side
    364.78x = 309,640.08
  5. Step 5: Solve for x
    x = 309,640.08/364.78
  6. Step 6: Final answer
    x = 848.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.