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Finding the Third Proportional to 264,099 and 397,413

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Solution

The third proportional to 264,099 and 397,413 is: 598,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,099 : 397,413 = 397,413 : x
  2. Step 2: Convert to fraction form
    264,099/397,413 = 397,413/x
  3. Step 3: Cross multiply
    264,099x = 397,413 × 397,413
  4. Step 4: Simplify right side
    264,099x = 157,937,092,569
  5. Step 5: Solve for x
    x = 157,937,092,569/264,099
  6. Step 6: Final answer
    x = 598,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.