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Finding the Third Proportional to 567.75 and 805.13

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Solution

The third proportional to 567.75 and 805.13 is: 1,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 805.13 = 805.13 : x
  2. Step 2: Convert to fraction form
    567.75/805.13 = 805.13/x
  3. Step 3: Cross multiply
    567.75x = 805.13 × 805.13
  4. Step 4: Simplify right side
    567.75x = 648,226.27
  5. Step 5: Solve for x
    x = 648,226.27/567.75
  6. Step 6: Final answer
    x = 1,141.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.