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Finding the Third Proportional to 365,484 and 548,226

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Solution

The third proportional to 365,484 and 548,226 is: 822,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,484 : 548,226 = 548,226 : x
  2. Step 2: Convert to fraction form
    365,484/548,226 = 548,226/x
  3. Step 3: Cross multiply
    365,484x = 548,226 × 548,226
  4. Step 4: Simplify right side
    365,484x = 300,551,747,076
  5. Step 5: Solve for x
    x = 300,551,747,076/365,484
  6. Step 6: Final answer
    x = 822,339

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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.