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Finding the Third Proportional to 585,170 and 873,927

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Solution

The third proportional to 585,170 and 873,927 is: 1,305,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,170 : 873,927 = 873,927 : x
  2. Step 2: Convert to fraction form
    585,170/873,927 = 873,927/x
  3. Step 3: Cross multiply
    585,170x = 873,927 × 873,927
  4. Step 4: Simplify right side
    585,170x = 763,748,401,329
  5. Step 5: Solve for x
    x = 763,748,401,329/585,170
  6. Step 6: Final answer
    x = 1,305,173.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.