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Finding the Third Proportional to 419.06 and 664.03

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Solution

The third proportional to 419.06 and 664.03 is: 1,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 664.03 = 664.03 : x
  2. Step 2: Convert to fraction form
    419.06/664.03 = 664.03/x
  3. Step 3: Cross multiply
    419.06x = 664.03 × 664.03
  4. Step 4: Simplify right side
    419.06x = 440,937.50
  5. Step 5: Solve for x
    x = 440,937.50/419.06
  6. Step 6: Final answer
    x = 1,052.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.