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Finding the Third Proportional to 365,472 and 548,208

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Solution

The third proportional to 365,472 and 548,208 is: 822,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,472 : 548,208 = 548,208 : x
  2. Step 2: Convert to fraction form
    365,472/548,208 = 548,208/x
  3. Step 3: Cross multiply
    365,472x = 548,208 × 548,208
  4. Step 4: Simplify right side
    365,472x = 300,532,011,264
  5. Step 5: Solve for x
    x = 300,532,011,264/365,472
  6. Step 6: Final answer
    x = 822,312

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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.