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Finding the Third Proportional to 512,372.25 and 814,347

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Solution

The third proportional to 512,372.25 and 814,347 is: 1,294,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,372.25 : 814,347 = 814,347 : x
  2. Step 2: Convert to fraction form
    512,372.25/814,347 = 814,347/x
  3. Step 3: Cross multiply
    512,372.25x = 814,347 × 814,347
  4. Step 4: Simplify right side
    512,372.25x = 663,161,036,409
  5. Step 5: Solve for x
    x = 663,161,036,409/512,372.25
  6. Step 6: Final answer
    x = 1,294,295.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.