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Finding the Third Proportional to 884.20 and 1,364.74

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Solution

The third proportional to 884.20 and 1,364.74 is: 2,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.20 : 1,364.74 = 1,364.74 : x
  2. Step 2: Convert to fraction form
    884.20/1,364.74 = 1,364.74/x
  3. Step 3: Cross multiply
    884.20x = 1,364.74 × 1,364.74
  4. Step 4: Simplify right side
    884.20x = 1,862,513.24
  5. Step 5: Solve for x
    x = 1,862,513.24/884.20
  6. Step 6: Final answer
    x = 2,106.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.