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Finding the Third Proportional to 594,755 and 892,314

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Solution

The third proportional to 594,755 and 892,314 is: 1,338,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,755 : 892,314 = 892,314 : x
  2. Step 2: Convert to fraction form
    594,755/892,314 = 892,314/x
  3. Step 3: Cross multiply
    594,755x = 892,314 × 892,314
  4. Step 4: Simplify right side
    594,755x = 796,224,274,596
  5. Step 5: Solve for x
    x = 796,224,274,596/594,755
  6. Step 6: Final answer
    x = 1,338,743.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.