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Finding the Third Proportional to 298,910 and 646,662

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Solution

The third proportional to 298,910 and 646,662 is: 1,398,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,910 : 646,662 = 646,662 : x
  2. Step 2: Convert to fraction form
    298,910/646,662 = 646,662/x
  3. Step 3: Cross multiply
    298,910x = 646,662 × 646,662
  4. Step 4: Simplify right side
    298,910x = 418,171,742,244
  5. Step 5: Solve for x
    x = 418,171,742,244/298,910
  6. Step 6: Final answer
    x = 1,398,988.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.