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Finding the Third Proportional to 525,046 and 792,375

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Solution

The third proportional to 525,046 and 792,375 is: 1,195,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,046 : 792,375 = 792,375 : x
  2. Step 2: Convert to fraction form
    525,046/792,375 = 792,375/x
  3. Step 3: Cross multiply
    525,046x = 792,375 × 792,375
  4. Step 4: Simplify right side
    525,046x = 627,858,140,625
  5. Step 5: Solve for x
    x = 627,858,140,625/525,046
  6. Step 6: Final answer
    x = 1,195,815.49

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