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Finding the Third Proportional to 621.84 and 899.02

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Solution

The third proportional to 621.84 and 899.02 is: 1,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 899.02 = 899.02 : x
  2. Step 2: Convert to fraction form
    621.84/899.02 = 899.02/x
  3. Step 3: Cross multiply
    621.84x = 899.02 × 899.02
  4. Step 4: Simplify right side
    621.84x = 808,229.09
  5. Step 5: Solve for x
    x = 808,229.09/621.84
  6. Step 6: Final answer
    x = 1,299.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.