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Finding the Third Proportional to 592,316 and 844,170

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Solution

The third proportional to 592,316 and 844,170 is: 1,203,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,316 : 844,170 = 844,170 : x
  2. Step 2: Convert to fraction form
    592,316/844,170 = 844,170/x
  3. Step 3: Cross multiply
    592,316x = 844,170 × 844,170
  4. Step 4: Simplify right side
    592,316x = 712,622,988,900
  5. Step 5: Solve for x
    x = 712,622,988,900/592,316
  6. Step 6: Final answer
    x = 1,203,112.85

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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.