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Finding the Third Proportional to 567.19 and 891.33

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Solution

The third proportional to 567.19 and 891.33 is: 1,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.19 : 891.33 = 891.33 : x
  2. Step 2: Convert to fraction form
    567.19/891.33 = 891.33/x
  3. Step 3: Cross multiply
    567.19x = 891.33 × 891.33
  4. Step 4: Simplify right side
    567.19x = 794,465.83
  5. Step 5: Solve for x
    x = 794,465.83/567.19
  6. Step 6: Final answer
    x = 1,400.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.