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Finding the Third Proportional to 442,826 and 704,966

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Solution

The third proportional to 442,826 and 704,966 is: 1,122,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,826 : 704,966 = 704,966 : x
  2. Step 2: Convert to fraction form
    442,826/704,966 = 704,966/x
  3. Step 3: Cross multiply
    442,826x = 704,966 × 704,966
  4. Step 4: Simplify right side
    442,826x = 496,977,061,156
  5. Step 5: Solve for x
    x = 496,977,061,156/442,826
  6. Step 6: Final answer
    x = 1,122,285.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.