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Finding the Third Proportional to 464.94 and 1,016.13

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Solution

The third proportional to 464.94 and 1,016.13 is: 2,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 1,016.13 = 1,016.13 : x
  2. Step 2: Convert to fraction form
    464.94/1,016.13 = 1,016.13/x
  3. Step 3: Cross multiply
    464.94x = 1,016.13 × 1,016.13
  4. Step 4: Simplify right side
    464.94x = 1,032,510.02
  5. Step 5: Solve for x
    x = 1,032,510.02/464.94
  6. Step 6: Final answer
    x = 2,220.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.