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Finding the Third Proportional to 496,134 and 698,690

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Solution

The third proportional to 496,134 and 698,690 is: 983,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,134 : 698,690 = 698,690 : x
  2. Step 2: Convert to fraction form
    496,134/698,690 = 698,690/x
  3. Step 3: Cross multiply
    496,134x = 698,690 × 698,690
  4. Step 4: Simplify right side
    496,134x = 488,167,716,100
  5. Step 5: Solve for x
    x = 488,167,716,100/496,134
  6. Step 6: Final answer
    x = 983,943.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.