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Finding the Third Proportional to 460.97 and 1,065.94

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Solution

The third proportional to 460.97 and 1,065.94 is: 2,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.97 : 1,065.94 = 1,065.94 : x
  2. Step 2: Convert to fraction form
    460.97/1,065.94 = 1,065.94/x
  3. Step 3: Cross multiply
    460.97x = 1,065.94 × 1,065.94
  4. Step 4: Simplify right side
    460.97x = 1,136,222.75
  5. Step 5: Solve for x
    x = 1,136,222.75/460.97
  6. Step 6: Final answer
    x = 2,464.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.