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Finding the Third Proportional to 625.43 and 889.10

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Solution

The third proportional to 625.43 and 889.10 is: 1,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.43 : 889.10 = 889.10 : x
  2. Step 2: Convert to fraction form
    625.43/889.10 = 889.10/x
  3. Step 3: Cross multiply
    625.43x = 889.10 × 889.10
  4. Step 4: Simplify right side
    625.43x = 790,501.59
  5. Step 5: Solve for x
    x = 790,501.59/625.43
  6. Step 6: Final answer
    x = 1,263.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.