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Finding the Third Proportional to 416.81 and 869.06

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Solution

The third proportional to 416.81 and 869.06 is: 1,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 869.06 = 869.06 : x
  2. Step 2: Convert to fraction form
    416.81/869.06 = 869.06/x
  3. Step 3: Cross multiply
    416.81x = 869.06 × 869.06
  4. Step 4: Simplify right side
    416.81x = 755,269.63
  5. Step 5: Solve for x
    x = 755,269.63/416.81
  6. Step 6: Final answer
    x = 1,812.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.