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Finding the Third Proportional to 467,924 and 698,763

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Solution

The third proportional to 467,924 and 698,763 is: 1,043,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,924 : 698,763 = 698,763 : x
  2. Step 2: Convert to fraction form
    467,924/698,763 = 698,763/x
  3. Step 3: Cross multiply
    467,924x = 698,763 × 698,763
  4. Step 4: Simplify right side
    467,924x = 488,269,730,169
  5. Step 5: Solve for x
    x = 488,269,730,169/467,924
  6. Step 6: Final answer
    x = 1,043,480.84

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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.