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Finding the Third Proportional to 812.25 and 1,157.63

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Solution

The third proportional to 812.25 and 1,157.63 is: 1,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,157.63 = 1,157.63 : x
  2. Step 2: Convert to fraction form
    812.25/1,157.63 = 1,157.63/x
  3. Step 3: Cross multiply
    812.25x = 1,157.63 × 1,157.63
  4. Step 4: Simplify right side
    812.25x = 1,340,095.64
  5. Step 5: Solve for x
    x = 1,340,095.64/812.25
  6. Step 6: Final answer
    x = 1,649.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.