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Finding the Third Proportional to 522,226 and 704,605

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Solution

The third proportional to 522,226 and 704,605 is: 950,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,226 : 704,605 = 704,605 : x
  2. Step 2: Convert to fraction form
    522,226/704,605 = 704,605/x
  3. Step 3: Cross multiply
    522,226x = 704,605 × 704,605
  4. Step 4: Simplify right side
    522,226x = 496,468,206,025
  5. Step 5: Solve for x
    x = 496,468,206,025/522,226
  6. Step 6: Final answer
    x = 950,676.92

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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.