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Finding the Third Proportional to 464.81 and 922.88

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Solution

The third proportional to 464.81 and 922.88 is: 1,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 922.88 = 922.88 : x
  2. Step 2: Convert to fraction form
    464.81/922.88 = 922.88/x
  3. Step 3: Cross multiply
    464.81x = 922.88 × 922.88
  4. Step 4: Simplify right side
    464.81x = 851,698.27
  5. Step 5: Solve for x
    x = 851,698.27/464.81
  6. Step 6: Final answer
    x = 1,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.