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Finding the Third Proportional to 467,912 and 698,749

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Solution

The third proportional to 467,912 and 698,749 is: 1,043,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,912 : 698,749 = 698,749 : x
  2. Step 2: Convert to fraction form
    467,912/698,749 = 698,749/x
  3. Step 3: Cross multiply
    467,912x = 698,749 × 698,749
  4. Step 4: Simplify right side
    467,912x = 488,250,165,001
  5. Step 5: Solve for x
    x = 488,250,165,001/467,912
  6. Step 6: Final answer
    x = 1,043,465.79

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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.