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Finding the Third Proportional to 603.91 and 1,128.09

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Solution

The third proportional to 603.91 and 1,128.09 is: 2,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.91 : 1,128.09 = 1,128.09 : x
  2. Step 2: Convert to fraction form
    603.91/1,128.09 = 1,128.09/x
  3. Step 3: Cross multiply
    603.91x = 1,128.09 × 1,128.09
  4. Step 4: Simplify right side
    603.91x = 1,272,595.51
  5. Step 5: Solve for x
    x = 1,272,595.51/603.91
  6. Step 6: Final answer
    x = 2,107.25

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.