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Finding the Third Proportional to 366,992 and 536,328

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Solution

The third proportional to 366,992 and 536,328 is: 783,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,992 : 536,328 = 536,328 : x
  2. Step 2: Convert to fraction form
    366,992/536,328 = 536,328/x
  3. Step 3: Cross multiply
    366,992x = 536,328 × 536,328
  4. Step 4: Simplify right side
    366,992x = 287,647,723,584
  5. Step 5: Solve for x
    x = 287,647,723,584/366,992
  6. Step 6: Final answer
    x = 783,798.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.