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Finding the Third Proportional to 552.19 and 1,303.69

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Solution

The third proportional to 552.19 and 1,303.69 is: 3,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.19 : 1,303.69 = 1,303.69 : x
  2. Step 2: Convert to fraction form
    552.19/1,303.69 = 1,303.69/x
  3. Step 3: Cross multiply
    552.19x = 1,303.69 × 1,303.69
  4. Step 4: Simplify right side
    552.19x = 1,699,601.10
  5. Step 5: Solve for x
    x = 1,699,601.10/552.19
  6. Step 6: Final answer
    x = 3,077.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.