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Finding the Third Proportional to 449.93 and 922.64

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Solution

The third proportional to 449.93 and 922.64 is: 1,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.93 : 922.64 = 922.64 : x
  2. Step 2: Convert to fraction form
    449.93/922.64 = 922.64/x
  3. Step 3: Cross multiply
    449.93x = 922.64 × 922.64
  4. Step 4: Simplify right side
    449.93x = 851,265.72
  5. Step 5: Solve for x
    x = 851,265.72/449.93
  6. Step 6: Final answer
    x = 1,892.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.