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Finding the Third Proportional to 521,781.75 and 698,199.75

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Solution

The third proportional to 521,781.75 and 698,199.75 is: 934,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,781.75 : 698,199.75 = 698,199.75 : x
  2. Step 2: Convert to fraction form
    521,781.75/698,199.75 = 698,199.75/x
  3. Step 3: Cross multiply
    521,781.75x = 698,199.75 × 698,199.75
  4. Step 4: Simplify right side
    521,781.75x = 487,482,890,900.06
  5. Step 5: Solve for x
    x = 487,482,890,900.06/521,781.75
  6. Step 6: Final answer
    x = 934,265.89

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.