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Finding the Third Proportional to 294,874 and 631,814

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Solution

The third proportional to 294,874 and 631,814 is: 1,353,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,874 : 631,814 = 631,814 : x
  2. Step 2: Convert to fraction form
    294,874/631,814 = 631,814/x
  3. Step 3: Cross multiply
    294,874x = 631,814 × 631,814
  4. Step 4: Simplify right side
    294,874x = 399,188,930,596
  5. Step 5: Solve for x
    x = 399,188,930,596/294,874
  6. Step 6: Final answer
    x = 1,353,761.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.