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Finding the Third Proportional to 350,402 and 768,626

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Solution

The third proportional to 350,402 and 768,626 is: 1,686,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,402 : 768,626 = 768,626 : x
  2. Step 2: Convert to fraction form
    350,402/768,626 = 768,626/x
  3. Step 3: Cross multiply
    350,402x = 768,626 × 768,626
  4. Step 4: Simplify right side
    350,402x = 590,785,927,876
  5. Step 5: Solve for x
    x = 590,785,927,876/350,402
  6. Step 6: Final answer
    x = 1,686,023.28

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Why These Related Problems?

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