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Finding the Third Proportional to 536,350 and 795,242

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Solution

The third proportional to 536,350 and 795,242 is: 1,179,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,350 : 795,242 = 795,242 : x
  2. Step 2: Convert to fraction form
    536,350/795,242 = 795,242/x
  3. Step 3: Cross multiply
    536,350x = 795,242 × 795,242
  4. Step 4: Simplify right side
    536,350x = 632,409,838,564
  5. Step 5: Solve for x
    x = 632,409,838,564/536,350
  6. Step 6: Final answer
    x = 1,179,099.17

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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.