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Finding the Third Proportional to 350,031 and 763,415

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Solution

The third proportional to 350,031 and 763,415 is: 1,665,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,031 : 763,415 = 763,415 : x
  2. Step 2: Convert to fraction form
    350,031/763,415 = 763,415/x
  3. Step 3: Cross multiply
    350,031x = 763,415 × 763,415
  4. Step 4: Simplify right side
    350,031x = 582,802,462,225
  5. Step 5: Solve for x
    x = 582,802,462,225/350,031
  6. Step 6: Final answer
    x = 1,665,002.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.