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Finding the Third Proportional to 259,752 and 558,348

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Solution

The third proportional to 259,752 and 558,348 is: 1,200,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,752 : 558,348 = 558,348 : x
  2. Step 2: Convert to fraction form
    259,752/558,348 = 558,348/x
  3. Step 3: Cross multiply
    259,752x = 558,348 × 558,348
  4. Step 4: Simplify right side
    259,752x = 311,752,489,104
  5. Step 5: Solve for x
    x = 311,752,489,104/259,752
  6. Step 6: Final answer
    x = 1,200,192.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.