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Finding the Third Proportional to 365,664 and 552,392

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Solution

The third proportional to 365,664 and 552,392 is: 834,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,664 : 552,392 = 552,392 : x
  2. Step 2: Convert to fraction form
    365,664/552,392 = 552,392/x
  3. Step 3: Cross multiply
    365,664x = 552,392 × 552,392
  4. Step 4: Simplify right side
    365,664x = 305,136,921,664
  5. Step 5: Solve for x
    x = 305,136,921,664/365,664
  6. Step 6: Final answer
    x = 834,473.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.