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Finding the Third Proportional to 766.13 and 831.94

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Solution

The third proportional to 766.13 and 831.94 is: 903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 831.94 = 831.94 : x
  2. Step 2: Convert to fraction form
    766.13/831.94 = 831.94/x
  3. Step 3: Cross multiply
    766.13x = 831.94 × 831.94
  4. Step 4: Simplify right side
    766.13x = 692,120.00
  5. Step 5: Solve for x
    x = 692,120.00/766.13
  6. Step 6: Final answer
    x = 903.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.