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Finding the Third Proportional to 365,509 and 548,264

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Solution

The third proportional to 365,509 and 548,264 is: 822,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,509 : 548,264 = 548,264 : x
  2. Step 2: Convert to fraction form
    365,509/548,264 = 548,264/x
  3. Step 3: Cross multiply
    365,509x = 548,264 × 548,264
  4. Step 4: Simplify right side
    365,509x = 300,593,413,696
  5. Step 5: Solve for x
    x = 300,593,413,696/365,509
  6. Step 6: Final answer
    x = 822,396.75

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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.