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Finding the Third Proportional to 467,820 and 698,616

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Solution

The third proportional to 467,820 and 698,616 is: 1,043,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,820 : 698,616 = 698,616 : x
  2. Step 2: Convert to fraction form
    467,820/698,616 = 698,616/x
  3. Step 3: Cross multiply
    467,820x = 698,616 × 698,616
  4. Step 4: Simplify right side
    467,820x = 488,064,315,456
  5. Step 5: Solve for x
    x = 488,064,315,456/467,820
  6. Step 6: Final answer
    x = 1,043,273.73

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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.