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Finding the Third Proportional to 312,927 and 675,741

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Solution

The third proportional to 312,927 and 675,741 is: 1,459,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,927 : 675,741 = 675,741 : x
  2. Step 2: Convert to fraction form
    312,927/675,741 = 675,741/x
  3. Step 3: Cross multiply
    312,927x = 675,741 × 675,741
  4. Step 4: Simplify right side
    312,927x = 456,625,899,081
  5. Step 5: Solve for x
    x = 456,625,899,081/312,927
  6. Step 6: Final answer
    x = 1,459,209.01

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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.