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Finding the Third Proportional to 299,187 and 648,219

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Solution

The third proportional to 299,187 and 648,219 is: 1,404,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,187 : 648,219 = 648,219 : x
  2. Step 2: Convert to fraction form
    299,187/648,219 = 648,219/x
  3. Step 3: Cross multiply
    299,187x = 648,219 × 648,219
  4. Step 4: Simplify right side
    299,187x = 420,187,871,961
  5. Step 5: Solve for x
    x = 420,187,871,961/299,187
  6. Step 6: Final answer
    x = 1,404,432.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.