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Finding the Third Proportional to 361,376 and 529,103

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Solution

The third proportional to 361,376 and 529,103 is: 774,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,376 : 529,103 = 529,103 : x
  2. Step 2: Convert to fraction form
    361,376/529,103 = 529,103/x
  3. Step 3: Cross multiply
    361,376x = 529,103 × 529,103
  4. Step 4: Simplify right side
    361,376x = 279,949,984,609
  5. Step 5: Solve for x
    x = 279,949,984,609/361,376
  6. Step 6: Final answer
    x = 774,677.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.