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Finding the Third Proportional to 603.70 and 1,332.70

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Solution

The third proportional to 603.70 and 1,332.70 is: 2,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.70 : 1,332.70 = 1,332.70 : x
  2. Step 2: Convert to fraction form
    603.70/1,332.70 = 1,332.70/x
  3. Step 3: Cross multiply
    603.70x = 1,332.70 × 1,332.70
  4. Step 4: Simplify right side
    603.70x = 1,776,097.62
  5. Step 5: Solve for x
    x = 1,776,097.62/603.70
  6. Step 6: Final answer
    x = 2,942.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.