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Finding the Third Proportional to 721.88 and 1,477.93

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Solution

The third proportional to 721.88 and 1,477.93 is: 3,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.88 : 1,477.93 = 1,477.93 : x
  2. Step 2: Convert to fraction form
    721.88/1,477.93 = 1,477.93/x
  3. Step 3: Cross multiply
    721.88x = 1,477.93 × 1,477.93
  4. Step 4: Simplify right side
    721.88x = 2,184,287.71
  5. Step 5: Solve for x
    x = 2,184,287.71/721.88
  6. Step 6: Final answer
    x = 3,025.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.