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Finding the Third Proportional to 485,026 and 734,249

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Solution

The third proportional to 485,026 and 734,249 is: 1,111,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,026 : 734,249 = 734,249 : x
  2. Step 2: Convert to fraction form
    485,026/734,249 = 734,249/x
  3. Step 3: Cross multiply
    485,026x = 734,249 × 734,249
  4. Step 4: Simplify right side
    485,026x = 539,121,594,001
  5. Step 5: Solve for x
    x = 539,121,594,001/485,026
  6. Step 6: Final answer
    x = 1,111,531.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.