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Finding the Third Proportional to 536.44 and 802.78

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Solution

The third proportional to 536.44 and 802.78 is: 1,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 802.78 = 802.78 : x
  2. Step 2: Convert to fraction form
    536.44/802.78 = 802.78/x
  3. Step 3: Cross multiply
    536.44x = 802.78 × 802.78
  4. Step 4: Simplify right side
    536.44x = 644,457.74
  5. Step 5: Solve for x
    x = 644,457.74/536.44
  6. Step 6: Final answer
    x = 1,201.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.