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Finding the Third Proportional to 312,941 and 675,765

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Solution

The third proportional to 312,941 and 675,765 is: 1,459,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,941 : 675,765 = 675,765 : x
  2. Step 2: Convert to fraction form
    312,941/675,765 = 675,765/x
  3. Step 3: Cross multiply
    312,941x = 675,765 × 675,765
  4. Step 4: Simplify right side
    312,941x = 456,658,335,225
  5. Step 5: Solve for x
    x = 456,658,335,225/312,941
  6. Step 6: Final answer
    x = 1,459,247.38

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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.