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Finding the Third Proportional to 654.75 and 1,004.91

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Solution

The third proportional to 654.75 and 1,004.91 is: 1,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 1,004.91 = 1,004.91 : x
  2. Step 2: Convert to fraction form
    654.75/1,004.91 = 1,004.91/x
  3. Step 3: Cross multiply
    654.75x = 1,004.91 × 1,004.91
  4. Step 4: Simplify right side
    654.75x = 1,009,836.57
  5. Step 5: Solve for x
    x = 1,009,836.57/654.75
  6. Step 6: Final answer
    x = 1,542.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.