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Finding the Third Proportional to 536,340 and 795,232

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Solution

The third proportional to 536,340 and 795,232 is: 1,179,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,340 : 795,232 = 795,232 : x
  2. Step 2: Convert to fraction form
    536,340/795,232 = 795,232/x
  3. Step 3: Cross multiply
    536,340x = 795,232 × 795,232
  4. Step 4: Simplify right side
    536,340x = 632,393,933,824
  5. Step 5: Solve for x
    x = 632,393,933,824/536,340
  6. Step 6: Final answer
    x = 1,179,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.