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Finding the Third Proportional to 372.25 and 900.63

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Solution

The third proportional to 372.25 and 900.63 is: 2,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.25 : 900.63 = 900.63 : x
  2. Step 2: Convert to fraction form
    372.25/900.63 = 900.63/x
  3. Step 3: Cross multiply
    372.25x = 900.63 × 900.63
  4. Step 4: Simplify right side
    372.25x = 811,125.39
  5. Step 5: Solve for x
    x = 811,125.39/372.25
  6. Step 6: Final answer
    x = 2,178.98

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.