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Finding the Third Proportional to 313,566 and 689,562

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Solution

The third proportional to 313,566 and 689,562 is: 1,516,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,566 : 689,562 = 689,562 : x
  2. Step 2: Convert to fraction form
    313,566/689,562 = 689,562/x
  3. Step 3: Cross multiply
    313,566x = 689,562 × 689,562
  4. Step 4: Simplify right side
    313,566x = 475,495,751,844
  5. Step 5: Solve for x
    x = 475,495,751,844/313,566
  6. Step 6: Final answer
    x = 1,516,413.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.