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Finding the Third Proportional to 661.92 and 1,410.33

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Solution

The third proportional to 661.92 and 1,410.33 is: 3,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 1,410.33 = 1,410.33 : x
  2. Step 2: Convert to fraction form
    661.92/1,410.33 = 1,410.33/x
  3. Step 3: Cross multiply
    661.92x = 1,410.33 × 1,410.33
  4. Step 4: Simplify right side
    661.92x = 1,989,025.42
  5. Step 5: Solve for x
    x = 1,989,025.42/661.92
  6. Step 6: Final answer
    x = 3,004.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.