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Finding the Third Proportional to 367,791 and 552,057

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Solution

The third proportional to 367,791 and 552,057 is: 828,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,791 : 552,057 = 552,057 : x
  2. Step 2: Convert to fraction form
    367,791/552,057 = 552,057/x
  3. Step 3: Cross multiply
    367,791x = 552,057 × 552,057
  4. Step 4: Simplify right side
    367,791x = 304,766,931,249
  5. Step 5: Solve for x
    x = 304,766,931,249/367,791
  6. Step 6: Final answer
    x = 828,641.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.