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Finding the Third Proportional to 375,867 and 582,897

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Solution

The third proportional to 375,867 and 582,897 is: 903,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,867 : 582,897 = 582,897 : x
  2. Step 2: Convert to fraction form
    375,867/582,897 = 582,897/x
  3. Step 3: Cross multiply
    375,867x = 582,897 × 582,897
  4. Step 4: Simplify right side
    375,867x = 339,768,912,609
  5. Step 5: Solve for x
    x = 339,768,912,609/375,867
  6. Step 6: Final answer
    x = 903,960.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.