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Finding the Third Proportional to 412.91 and 601.80

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Solution

The third proportional to 412.91 and 601.80 is: 877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.91 : 601.80 = 601.80 : x
  2. Step 2: Convert to fraction form
    412.91/601.80 = 601.80/x
  3. Step 3: Cross multiply
    412.91x = 601.80 × 601.80
  4. Step 4: Simplify right side
    412.91x = 362,168.88
  5. Step 5: Solve for x
    x = 362,168.88/412.91
  6. Step 6: Final answer
    x = 877.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.