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Finding the Third Proportional to 592,318 and 844,173

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Solution

The third proportional to 592,318 and 844,173 is: 1,203,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,318 : 844,173 = 844,173 : x
  2. Step 2: Convert to fraction form
    592,318/844,173 = 844,173/x
  3. Step 3: Cross multiply
    592,318x = 844,173 × 844,173
  4. Step 4: Simplify right side
    592,318x = 712,628,053,929
  5. Step 5: Solve for x
    x = 712,628,053,929/592,318
  6. Step 6: Final answer
    x = 1,203,117.34

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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.