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Finding the Third Proportional to 410.63 and 889.59

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Solution

The third proportional to 410.63 and 889.59 is: 1,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.63 : 889.59 = 889.59 : x
  2. Step 2: Convert to fraction form
    410.63/889.59 = 889.59/x
  3. Step 3: Cross multiply
    410.63x = 889.59 × 889.59
  4. Step 4: Simplify right side
    410.63x = 791,377.04
  5. Step 5: Solve for x
    x = 791,377.04/410.63
  6. Step 6: Final answer
    x = 1,927.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.