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Finding the Third Proportional to 350,102 and 763,564

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Solution

The third proportional to 350,102 and 763,564 is: 1,665,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,102 : 763,564 = 763,564 : x
  2. Step 2: Convert to fraction form
    350,102/763,564 = 763,564/x
  3. Step 3: Cross multiply
    350,102x = 763,564 × 763,564
  4. Step 4: Simplify right side
    350,102x = 583,029,982,096
  5. Step 5: Solve for x
    x = 583,029,982,096/350,102
  6. Step 6: Final answer
    x = 1,665,314.63

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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.