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Finding the Third Proportional to 350,664 and 766,944

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Solution

The third proportional to 350,664 and 766,944 is: 1,677,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,664 : 766,944 = 766,944 : x
  2. Step 2: Convert to fraction form
    350,664/766,944 = 766,944/x
  3. Step 3: Cross multiply
    350,664x = 766,944 × 766,944
  4. Step 4: Simplify right side
    350,664x = 588,203,099,136
  5. Step 5: Solve for x
    x = 588,203,099,136/350,664
  6. Step 6: Final answer
    x = 1,677,398.02

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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.