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Finding the Third Proportional to 361,178 and 536,567

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Solution

The third proportional to 361,178 and 536,567 is: 797,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,178 : 536,567 = 536,567 : x
  2. Step 2: Convert to fraction form
    361,178/536,567 = 536,567/x
  3. Step 3: Cross multiply
    361,178x = 536,567 × 536,567
  4. Step 4: Simplify right side
    361,178x = 287,904,145,489
  5. Step 5: Solve for x
    x = 287,904,145,489/361,178
  6. Step 6: Final answer
    x = 797,125.37

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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.