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Finding the Third Proportional to 473.72 and 1,025.28

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Solution

The third proportional to 473.72 and 1,025.28 is: 2,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 1,025.28 = 1,025.28 : x
  2. Step 2: Convert to fraction form
    473.72/1,025.28 = 1,025.28/x
  3. Step 3: Cross multiply
    473.72x = 1,025.28 × 1,025.28
  4. Step 4: Simplify right side
    473.72x = 1,051,201.64
  5. Step 5: Solve for x
    x = 1,051,201.64/473.72
  6. Step 6: Final answer
    x = 2,219.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.