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Finding the Third Proportional to 525,062 and 792,404

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Solution

The third proportional to 525,062 and 792,404 is: 1,195,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,062 : 792,404 = 792,404 : x
  2. Step 2: Convert to fraction form
    525,062/792,404 = 792,404/x
  3. Step 3: Cross multiply
    525,062x = 792,404 × 792,404
  4. Step 4: Simplify right side
    525,062x = 627,904,099,216
  5. Step 5: Solve for x
    x = 627,904,099,216/525,062
  6. Step 6: Final answer
    x = 1,195,866.58

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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.