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Finding the Third Proportional to 522,223 and 704,601

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Solution

The third proportional to 522,223 and 704,601 is: 950,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,223 : 704,601 = 704,601 : x
  2. Step 2: Convert to fraction form
    522,223/704,601 = 704,601/x
  3. Step 3: Cross multiply
    522,223x = 704,601 × 704,601
  4. Step 4: Simplify right side
    522,223x = 496,462,569,201
  5. Step 5: Solve for x
    x = 496,462,569,201/522,223
  6. Step 6: Final answer
    x = 950,671.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.