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Finding the Third Proportional to 411.23 and 651.09

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Solution

The third proportional to 411.23 and 651.09 is: 1,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.23 : 651.09 = 651.09 : x
  2. Step 2: Convert to fraction form
    411.23/651.09 = 651.09/x
  3. Step 3: Cross multiply
    411.23x = 651.09 × 651.09
  4. Step 4: Simplify right side
    411.23x = 423,923.07
  5. Step 5: Solve for x
    x = 423,923.07/411.23
  6. Step 6: Final answer
    x = 1,030.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.