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Finding the Third Proportional to 722.04 and 1,529.30

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Solution

The third proportional to 722.04 and 1,529.30 is: 3,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.04 : 1,529.30 = 1,529.30 : x
  2. Step 2: Convert to fraction form
    722.04/1,529.30 = 1,529.30/x
  3. Step 3: Cross multiply
    722.04x = 1,529.30 × 1,529.30
  4. Step 4: Simplify right side
    722.04x = 2,338,748.93
  5. Step 5: Solve for x
    x = 2,338,748.93/722.04
  6. Step 6: Final answer
    x = 3,239.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.