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Finding the Third Proportional to 464.81 and 884.06

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Solution

The third proportional to 464.81 and 884.06 is: 1,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 884.06 = 884.06 : x
  2. Step 2: Convert to fraction form
    464.81/884.06 = 884.06/x
  3. Step 3: Cross multiply
    464.81x = 884.06 × 884.06
  4. Step 4: Simplify right side
    464.81x = 781,566.50
  5. Step 5: Solve for x
    x = 781,566.50/464.81
  6. Step 6: Final answer
    x = 1,681.47

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.