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Finding the Third Proportional to 410.25 and 884.63

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Solution

The third proportional to 410.25 and 884.63 is: 1,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 884.63 = 884.63 : x
  2. Step 2: Convert to fraction form
    410.25/884.63 = 884.63/x
  3. Step 3: Cross multiply
    410.25x = 884.63 × 884.63
  4. Step 4: Simplify right side
    410.25x = 782,561.39
  5. Step 5: Solve for x
    x = 782,561.39/410.25
  6. Step 6: Final answer
    x = 1,907.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.