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Finding the Third Proportional to 485,342 and 734,801

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Solution

The third proportional to 485,342 and 734,801 is: 1,112,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,342 : 734,801 = 734,801 : x
  2. Step 2: Convert to fraction form
    485,342/734,801 = 734,801/x
  3. Step 3: Cross multiply
    485,342x = 734,801 × 734,801
  4. Step 4: Simplify right side
    485,342x = 539,932,509,601
  5. Step 5: Solve for x
    x = 539,932,509,601/485,342
  6. Step 6: Final answer
    x = 1,112,478.44

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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.