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Finding the Third Proportional to 722.63 and 1,520.81

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Solution

The third proportional to 722.63 and 1,520.81 is: 3,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.63 : 1,520.81 = 1,520.81 : x
  2. Step 2: Convert to fraction form
    722.63/1,520.81 = 1,520.81/x
  3. Step 3: Cross multiply
    722.63x = 1,520.81 × 1,520.81
  4. Step 4: Simplify right side
    722.63x = 2,312,870.66
  5. Step 5: Solve for x
    x = 2,312,870.66/722.63
  6. Step 6: Final answer
    x = 3,200.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.