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Finding the Third Proportional to 592,314 and 844,167

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Solution

The third proportional to 592,314 and 844,167 is: 1,203,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,314 : 844,167 = 844,167 : x
  2. Step 2: Convert to fraction form
    592,314/844,167 = 844,167/x
  3. Step 3: Cross multiply
    592,314x = 844,167 × 844,167
  4. Step 4: Simplify right side
    592,314x = 712,617,923,889
  5. Step 5: Solve for x
    x = 712,617,923,889/592,314
  6. Step 6: Final answer
    x = 1,203,108.36

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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.