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Finding the Third Proportional to 361,326 and 536,750

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Solution

The third proportional to 361,326 and 536,750 is: 797,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,326 : 536,750 = 536,750 : x
  2. Step 2: Convert to fraction form
    361,326/536,750 = 536,750/x
  3. Step 3: Cross multiply
    361,326x = 536,750 × 536,750
  4. Step 4: Simplify right side
    361,326x = 288,100,562,500
  5. Step 5: Solve for x
    x = 288,100,562,500/361,326
  6. Step 6: Final answer
    x = 797,342.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.