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Finding the Third Proportional to 904.64 and 1,366.59

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Solution

The third proportional to 904.64 and 1,366.59 is: 2,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.64 : 1,366.59 = 1,366.59 : x
  2. Step 2: Convert to fraction form
    904.64/1,366.59 = 1,366.59/x
  3. Step 3: Cross multiply
    904.64x = 1,366.59 × 1,366.59
  4. Step 4: Simplify right side
    904.64x = 1,867,578.48
  5. Step 5: Solve for x
    x = 1,867,578.48/904.64
  6. Step 6: Final answer
    x = 2,064.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.