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Finding the Third Proportional to 650.53 and 1,048.57

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Solution

The third proportional to 650.53 and 1,048.57 is: 1,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 1,048.57 = 1,048.57 : x
  2. Step 2: Convert to fraction form
    650.53/1,048.57 = 1,048.57/x
  3. Step 3: Cross multiply
    650.53x = 1,048.57 × 1,048.57
  4. Step 4: Simplify right side
    650.53x = 1,099,499.70
  5. Step 5: Solve for x
    x = 1,099,499.70/650.53
  6. Step 6: Final answer
    x = 1,690.16

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.