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Finding the Third Proportional to 467,906 and 698,741

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Solution

The third proportional to 467,906 and 698,741 is: 1,043,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,906 : 698,741 = 698,741 : x
  2. Step 2: Convert to fraction form
    467,906/698,741 = 698,741/x
  3. Step 3: Cross multiply
    467,906x = 698,741 × 698,741
  4. Step 4: Simplify right side
    467,906x = 488,238,985,081
  5. Step 5: Solve for x
    x = 488,238,985,081/467,906
  6. Step 6: Final answer
    x = 1,043,455.28

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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.