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Finding the Third Proportional to 444.06 and 666.06

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Solution

The third proportional to 444.06 and 666.06 is: 999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.06 : 666.06 = 666.06 : x
  2. Step 2: Convert to fraction form
    444.06/666.06 = 666.06/x
  3. Step 3: Cross multiply
    444.06x = 666.06 × 666.06
  4. Step 4: Simplify right side
    444.06x = 443,639.25
  5. Step 5: Solve for x
    x = 443,639.25/444.06
  6. Step 6: Final answer
    x = 999.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.