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Finding the Third Proportional to 522,238 and 704,622

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Solution

The third proportional to 522,238 and 704,622 is: 950,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,238 : 704,622 = 704,622 : x
  2. Step 2: Convert to fraction form
    522,238/704,622 = 704,622/x
  3. Step 3: Cross multiply
    522,238x = 704,622 × 704,622
  4. Step 4: Simplify right side
    522,238x = 496,492,162,884
  5. Step 5: Solve for x
    x = 496,492,162,884/522,238
  6. Step 6: Final answer
    x = 950,700.95

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