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Finding the Third Proportional to 419.80 and 652.22

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Solution

The third proportional to 419.80 and 652.22 is: 1,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.80 : 652.22 = 652.22 : x
  2. Step 2: Convert to fraction form
    419.80/652.22 = 652.22/x
  3. Step 3: Cross multiply
    419.80x = 652.22 × 652.22
  4. Step 4: Simplify right side
    419.80x = 425,389.30
  5. Step 5: Solve for x
    x = 425,389.30/419.80
  6. Step 6: Final answer
    x = 1,013.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.