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Finding the Third Proportional to 534.09 and 1,140.33

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Solution

The third proportional to 534.09 and 1,140.33 is: 2,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 1,140.33 = 1,140.33 : x
  2. Step 2: Convert to fraction form
    534.09/1,140.33 = 1,140.33/x
  3. Step 3: Cross multiply
    534.09x = 1,140.33 × 1,140.33
  4. Step 4: Simplify right side
    534.09x = 1,300,348.23
  5. Step 5: Solve for x
    x = 1,300,348.23/534.09
  6. Step 6: Final answer
    x = 2,434.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.