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Finding the Third Proportional to 464.24 and 936.07

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Solution

The third proportional to 464.24 and 936.07 is: 1,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 936.07 = 936.07 : x
  2. Step 2: Convert to fraction form
    464.24/936.07 = 936.07/x
  3. Step 3: Cross multiply
    464.24x = 936.07 × 936.07
  4. Step 4: Simplify right side
    464.24x = 876,227.63
  5. Step 5: Solve for x
    x = 876,227.63/464.24
  6. Step 6: Final answer
    x = 1,887.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.