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Finding the Third Proportional to 419.94 and 652.44

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Solution

The third proportional to 419.94 and 652.44 is: 1,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 652.44 = 652.44 : x
  2. Step 2: Convert to fraction form
    419.94/652.44 = 652.44/x
  3. Step 3: Cross multiply
    419.94x = 652.44 × 652.44
  4. Step 4: Simplify right side
    419.94x = 425,674.69
  5. Step 5: Solve for x
    x = 425,674.69/419.94
  6. Step 6: Final answer
    x = 1,013.66

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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.