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Finding the Third Proportional to 806.63 and 1,128.94

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Solution

The third proportional to 806.63 and 1,128.94 is: 1,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.63 : 1,128.94 = 1,128.94 : x
  2. Step 2: Convert to fraction form
    806.63/1,128.94 = 1,128.94/x
  3. Step 3: Cross multiply
    806.63x = 1,128.94 × 1,128.94
  4. Step 4: Simplify right side
    806.63x = 1,274,499.88
  5. Step 5: Solve for x
    x = 1,274,499.88/806.63
  6. Step 6: Final answer
    x = 1,580.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.