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Finding the Third Proportional to 390.88 and 601.69

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Solution

The third proportional to 390.88 and 601.69 is: 926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.88 : 601.69 = 601.69 : x
  2. Step 2: Convert to fraction form
    390.88/601.69 = 601.69/x
  3. Step 3: Cross multiply
    390.88x = 601.69 × 601.69
  4. Step 4: Simplify right side
    390.88x = 362,027.85
  5. Step 5: Solve for x
    x = 362,027.85/390.88
  6. Step 6: Final answer
    x = 926.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.