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Finding the Third Proportional to 467,910 and 698,742

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Solution

The third proportional to 467,910 and 698,742 is: 1,043,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,910 : 698,742 = 698,742 : x
  2. Step 2: Convert to fraction form
    467,910/698,742 = 698,742/x
  3. Step 3: Cross multiply
    467,910x = 698,742 × 698,742
  4. Step 4: Simplify right side
    467,910x = 488,240,382,564
  5. Step 5: Solve for x
    x = 488,240,382,564/467,910
  6. Step 6: Final answer
    x = 1,043,449.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.