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Finding the Third Proportional to 364.50 and 565.88

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Solution

The third proportional to 364.50 and 565.88 is: 878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 565.88 = 565.88 : x
  2. Step 2: Convert to fraction form
    364.50/565.88 = 565.88/x
  3. Step 3: Cross multiply
    364.50x = 565.88 × 565.88
  4. Step 4: Simplify right side
    364.50x = 320,214.52
  5. Step 5: Solve for x
    x = 320,214.52/364.50
  6. Step 6: Final answer
    x = 878.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.