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Finding the Third Proportional to 361,180 and 536,570

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Solution

The third proportional to 361,180 and 536,570 is: 797,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,180 : 536,570 = 536,570 : x
  2. Step 2: Convert to fraction form
    361,180/536,570 = 536,570/x
  3. Step 3: Cross multiply
    361,180x = 536,570 × 536,570
  4. Step 4: Simplify right side
    361,180x = 287,907,364,900
  5. Step 5: Solve for x
    x = 287,907,364,900/361,180
  6. Step 6: Final answer
    x = 797,129.87

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Why These Related Problems?

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