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Finding the Third Proportional to 521,705.50 and 698,804

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Solution

The third proportional to 521,705.50 and 698,804 is: 936,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,705.50 : 698,804 = 698,804 : x
  2. Step 2: Convert to fraction form
    521,705.50/698,804 = 698,804/x
  3. Step 3: Cross multiply
    521,705.50x = 698,804 × 698,804
  4. Step 4: Simplify right side
    521,705.50x = 488,327,030,416
  5. Step 5: Solve for x
    x = 488,327,030,416/521,705.50
  6. Step 6: Final answer
    x = 936,020.48

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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.