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Finding the Third Proportional to 312,934 and 675,755

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Solution

The third proportional to 312,934 and 675,755 is: 1,459,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,934 : 675,755 = 675,755 : x
  2. Step 2: Convert to fraction form
    312,934/675,755 = 675,755/x
  3. Step 3: Cross multiply
    312,934x = 675,755 × 675,755
  4. Step 4: Simplify right side
    312,934x = 456,644,820,025
  5. Step 5: Solve for x
    x = 456,644,820,025/312,934
  6. Step 6: Final answer
    x = 1,459,236.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.