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Finding the Third Proportional to 361,248 and 536,652

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Solution

The third proportional to 361,248 and 536,652 is: 797,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,248 : 536,652 = 536,652 : x
  2. Step 2: Convert to fraction form
    361,248/536,652 = 536,652/x
  3. Step 3: Cross multiply
    361,248x = 536,652 × 536,652
  4. Step 4: Simplify right side
    361,248x = 287,995,369,104
  5. Step 5: Solve for x
    x = 287,995,369,104/361,248
  6. Step 6: Final answer
    x = 797,223.43

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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.