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Finding the Third Proportional to 524,376 and 801,846

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Solution

The third proportional to 524,376 and 801,846 is: 1,226,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,376 : 801,846 = 801,846 : x
  2. Step 2: Convert to fraction form
    524,376/801,846 = 801,846/x
  3. Step 3: Cross multiply
    524,376x = 801,846 × 801,846
  4. Step 4: Simplify right side
    524,376x = 642,957,007,716
  5. Step 5: Solve for x
    x = 642,957,007,716/524,376
  6. Step 6: Final answer
    x = 1,226,137.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.