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Finding the Third Proportional to 467,922 and 698,760

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Solution

The third proportional to 467,922 and 698,760 is: 1,043,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,922 : 698,760 = 698,760 : x
  2. Step 2: Convert to fraction form
    467,922/698,760 = 698,760/x
  3. Step 3: Cross multiply
    467,922x = 698,760 × 698,760
  4. Step 4: Simplify right side
    467,922x = 488,265,537,600
  5. Step 5: Solve for x
    x = 488,265,537,600/467,922
  6. Step 6: Final answer
    x = 1,043,476.34

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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.