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Finding the Third Proportional to 264,911 and 396,324

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Solution

The third proportional to 264,911 and 396,324 is: 592,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,911 : 396,324 = 396,324 : x
  2. Step 2: Convert to fraction form
    264,911/396,324 = 396,324/x
  3. Step 3: Cross multiply
    264,911x = 396,324 × 396,324
  4. Step 4: Simplify right side
    264,911x = 157,072,712,976
  5. Step 5: Solve for x
    x = 157,072,712,976/264,911
  6. Step 6: Final answer
    x = 592,926.35

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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.