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Finding the Third Proportional to 259,252 and 558,968

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Solution

The third proportional to 259,252 and 558,968 is: 1,205,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,252 : 558,968 = 558,968 : x
  2. Step 2: Convert to fraction form
    259,252/558,968 = 558,968/x
  3. Step 3: Cross multiply
    259,252x = 558,968 × 558,968
  4. Step 4: Simplify right side
    259,252x = 312,445,225,024
  5. Step 5: Solve for x
    x = 312,445,225,024/259,252
  6. Step 6: Final answer
    x = 1,205,179.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.