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Finding the Third Proportional to 467,902 and 698,735

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Solution

The third proportional to 467,902 and 698,735 is: 1,043,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,902 : 698,735 = 698,735 : x
  2. Step 2: Convert to fraction form
    467,902/698,735 = 698,735/x
  3. Step 3: Cross multiply
    467,902x = 698,735 × 698,735
  4. Step 4: Simplify right side
    467,902x = 488,230,600,225
  5. Step 5: Solve for x
    x = 488,230,600,225/467,902
  6. Step 6: Final answer
    x = 1,043,446.28

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