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Finding the Third Proportional to 367,792 and 552,056

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Solution

The third proportional to 367,792 and 552,056 is: 828,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,792 : 552,056 = 552,056 : x
  2. Step 2: Convert to fraction form
    367,792/552,056 = 552,056/x
  3. Step 3: Cross multiply
    367,792x = 552,056 × 552,056
  4. Step 4: Simplify right side
    367,792x = 304,765,827,136
  5. Step 5: Solve for x
    x = 304,765,827,136/367,792
  6. Step 6: Final answer
    x = 828,636.37

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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.