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Finding the Third Proportional to 521,703 and 698,800.50

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Solution

The third proportional to 521,703 and 698,800.50 is: 936,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,703 : 698,800.50 = 698,800.50 : x
  2. Step 2: Convert to fraction form
    521,703/698,800.50 = 698,800.50/x
  3. Step 3: Cross multiply
    521,703x = 698,800.50 × 698,800.50
  4. Step 4: Simplify right side
    521,703x = 488,322,138,800.25
  5. Step 5: Solve for x
    x = 488,322,138,800.25/521,703
  6. Step 6: Final answer
    x = 936,015.59

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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.