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Finding the Third Proportional to 567.25 and 831.50

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Solution

The third proportional to 567.25 and 831.50 is: 1,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 831.50 = 831.50 : x
  2. Step 2: Convert to fraction form
    567.25/831.50 = 831.50/x
  3. Step 3: Cross multiply
    567.25x = 831.50 × 831.50
  4. Step 4: Simplify right side
    567.25x = 691,392.25
  5. Step 5: Solve for x
    x = 691,392.25/567.25
  6. Step 6: Final answer
    x = 1,218.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.