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Finding the Third Proportional to 416 and 1,130

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Solution

The third proportional to 416 and 1,130 is: 3,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 1,130 = 1,130 : x
  2. Step 2: Convert to fraction form
    416/1,130 = 1,130/x
  3. Step 3: Cross multiply
    416x = 1,130 × 1,130
  4. Step 4: Simplify right side
    416x = 1,276,900
  5. Step 5: Solve for x
    x = 1,276,900/416
  6. Step 6: Final answer
    x = 3,069.47

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.