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Finding the Third Proportional to 366,381 and 522,963

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Solution

The third proportional to 366,381 and 522,963 is: 746,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,381 : 522,963 = 522,963 : x
  2. Step 2: Convert to fraction form
    366,381/522,963 = 522,963/x
  3. Step 3: Cross multiply
    366,381x = 522,963 × 522,963
  4. Step 4: Simplify right side
    366,381x = 273,490,299,369
  5. Step 5: Solve for x
    x = 273,490,299,369/366,381
  6. Step 6: Final answer
    x = 746,464.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.