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Finding the Third Proportional to 426.41 and 637.98

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Solution

The third proportional to 426.41 and 637.98 is: 954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.41 : 637.98 = 637.98 : x
  2. Step 2: Convert to fraction form
    426.41/637.98 = 637.98/x
  3. Step 3: Cross multiply
    426.41x = 637.98 × 637.98
  4. Step 4: Simplify right side
    426.41x = 407,019.08
  5. Step 5: Solve for x
    x = 407,019.08/426.41
  6. Step 6: Final answer
    x = 954.52

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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.