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Finding the Third Proportional to 465.19 and 1,002.94

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Solution

The third proportional to 465.19 and 1,002.94 is: 2,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 1,002.94 = 1,002.94 : x
  2. Step 2: Convert to fraction form
    465.19/1,002.94 = 1,002.94/x
  3. Step 3: Cross multiply
    465.19x = 1,002.94 × 1,002.94
  4. Step 4: Simplify right side
    465.19x = 1,005,883.63
  5. Step 5: Solve for x
    x = 1,005,883.63/465.19
  6. Step 6: Final answer
    x = 2,162.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.