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Finding the Third Proportional to 509,864 and 809,792

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Solution

The third proportional to 509,864 and 809,792 is: 1,286,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,864 : 809,792 = 809,792 : x
  2. Step 2: Convert to fraction form
    509,864/809,792 = 809,792/x
  3. Step 3: Cross multiply
    509,864x = 809,792 × 809,792
  4. Step 4: Simplify right side
    509,864x = 655,763,083,264
  5. Step 5: Solve for x
    x = 655,763,083,264/509,864
  6. Step 6: Final answer
    x = 1,286,152.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.