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Finding the Third Proportional to 299,760 and 650,010

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Solution

The third proportional to 299,760 and 650,010 is: 1,409,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,760 : 650,010 = 650,010 : x
  2. Step 2: Convert to fraction form
    299,760/650,010 = 650,010/x
  3. Step 3: Cross multiply
    299,760x = 650,010 × 650,010
  4. Step 4: Simplify right side
    299,760x = 422,513,000,100
  5. Step 5: Solve for x
    x = 422,513,000,100/299,760
  6. Step 6: Final answer
    x = 1,409,504.27

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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.