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Finding the Third Proportional to 398,902 and 872,900

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Solution

The third proportional to 398,902 and 872,900 is: 1,910,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,902 : 872,900 = 872,900 : x
  2. Step 2: Convert to fraction form
    398,902/872,900 = 872,900/x
  3. Step 3: Cross multiply
    398,902x = 872,900 × 872,900
  4. Step 4: Simplify right side
    398,902x = 761,954,410,000
  5. Step 5: Solve for x
    x = 761,954,410,000/398,902
  6. Step 6: Final answer
    x = 1,910,129.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.