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Finding the Third Proportional to 660.75 and 1,302.94

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Solution

The third proportional to 660.75 and 1,302.94 is: 2,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 1,302.94 = 1,302.94 : x
  2. Step 2: Convert to fraction form
    660.75/1,302.94 = 1,302.94/x
  3. Step 3: Cross multiply
    660.75x = 1,302.94 × 1,302.94
  4. Step 4: Simplify right side
    660.75x = 1,697,646.13
  5. Step 5: Solve for x
    x = 1,697,646.13/660.75
  6. Step 6: Final answer
    x = 2,569.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.