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Finding the Third Proportional to 442,826 and 704,965

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Solution

The third proportional to 442,826 and 704,965 is: 1,122,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,826 : 704,965 = 704,965 : x
  2. Step 2: Convert to fraction form
    442,826/704,965 = 704,965/x
  3. Step 3: Cross multiply
    442,826x = 704,965 × 704,965
  4. Step 4: Simplify right side
    442,826x = 496,975,651,225
  5. Step 5: Solve for x
    x = 496,975,651,225/442,826
  6. Step 6: Final answer
    x = 1,122,282.01

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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.