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Finding the Third Proportional to 264,794 and 567,492

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Solution

The third proportional to 264,794 and 567,492 is: 1,216,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,794 : 567,492 = 567,492 : x
  2. Step 2: Convert to fraction form
    264,794/567,492 = 567,492/x
  3. Step 3: Cross multiply
    264,794x = 567,492 × 567,492
  4. Step 4: Simplify right side
    264,794x = 322,047,170,064
  5. Step 5: Solve for x
    x = 322,047,170,064/264,794
  6. Step 6: Final answer
    x = 1,216,217.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.