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Finding the Third Proportional to 283,257 and 604,422

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Solution

The third proportional to 283,257 and 604,422 is: 1,289,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,257 : 604,422 = 604,422 : x
  2. Step 2: Convert to fraction form
    283,257/604,422 = 604,422/x
  3. Step 3: Cross multiply
    283,257x = 604,422 × 604,422
  4. Step 4: Simplify right side
    283,257x = 365,325,954,084
  5. Step 5: Solve for x
    x = 365,325,954,084/283,257
  6. Step 6: Final answer
    x = 1,289,733.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.