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Finding the Third Proportional to 365,571 and 545,301

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Solution

The third proportional to 365,571 and 545,301 is: 813,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,571 : 545,301 = 545,301 : x
  2. Step 2: Convert to fraction form
    365,571/545,301 = 545,301/x
  3. Step 3: Cross multiply
    365,571x = 545,301 × 545,301
  4. Step 4: Simplify right side
    365,571x = 297,353,180,601
  5. Step 5: Solve for x
    x = 297,353,180,601/365,571
  6. Step 6: Final answer
    x = 813,393.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.