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Finding the Third Proportional to 264,424 and 397,222

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Solution

The third proportional to 264,424 and 397,222 is: 596,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,424 : 397,222 = 397,222 : x
  2. Step 2: Convert to fraction form
    264,424/397,222 = 397,222/x
  3. Step 3: Cross multiply
    264,424x = 397,222 × 397,222
  4. Step 4: Simplify right side
    264,424x = 157,785,317,284
  5. Step 5: Solve for x
    x = 157,785,317,284/264,424
  6. Step 6: Final answer
    x = 596,713.30

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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.