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Finding the Third Proportional to 644.99 and 968.92

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Solution

The third proportional to 644.99 and 968.92 is: 1,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.99 : 968.92 = 968.92 : x
  2. Step 2: Convert to fraction form
    644.99/968.92 = 968.92/x
  3. Step 3: Cross multiply
    644.99x = 968.92 × 968.92
  4. Step 4: Simplify right side
    644.99x = 938,796.35
  5. Step 5: Solve for x
    x = 938,796.35/644.99
  6. Step 6: Final answer
    x = 1,455.51

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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.