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Finding the Third Proportional to 371,088 and 809,568

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Solution

The third proportional to 371,088 and 809,568 is: 1,766,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,088 : 809,568 = 809,568 : x
  2. Step 2: Convert to fraction form
    371,088/809,568 = 809,568/x
  3. Step 3: Cross multiply
    371,088x = 809,568 × 809,568
  4. Step 4: Simplify right side
    371,088x = 655,400,346,624
  5. Step 5: Solve for x
    x = 655,400,346,624/371,088
  6. Step 6: Final answer
    x = 1,766,158.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.