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Finding the Third Proportional to 920.04 and 1,224.35

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Solution

The third proportional to 920.04 and 1,224.35 is: 1,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.04 : 1,224.35 = 1,224.35 : x
  2. Step 2: Convert to fraction form
    920.04/1,224.35 = 1,224.35/x
  3. Step 3: Cross multiply
    920.04x = 1,224.35 × 1,224.35
  4. Step 4: Simplify right side
    920.04x = 1,499,036.75
  5. Step 5: Solve for x
    x = 1,499,036.75/920.04
  6. Step 6: Final answer
    x = 1,629.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.