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Finding the Third Proportional to 264,597 and 397,492

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Solution

The third proportional to 264,597 and 397,492 is: 597,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,597 : 397,492 = 397,492 : x
  2. Step 2: Convert to fraction form
    264,597/397,492 = 397,492/x
  3. Step 3: Cross multiply
    264,597x = 397,492 × 397,492
  4. Step 4: Simplify right side
    264,597x = 157,999,890,064
  5. Step 5: Solve for x
    x = 157,999,890,064/264,597
  6. Step 6: Final answer
    x = 597,134.09

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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.