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Finding the Third Proportional to 442,827 and 704,967

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Solution

The third proportional to 442,827 and 704,967 is: 1,122,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,827 : 704,967 = 704,967 : x
  2. Step 2: Convert to fraction form
    442,827/704,967 = 704,967/x
  3. Step 3: Cross multiply
    442,827x = 704,967 × 704,967
  4. Step 4: Simplify right side
    442,827x = 496,978,471,089
  5. Step 5: Solve for x
    x = 496,978,471,089/442,827
  6. Step 6: Final answer
    x = 1,122,285.84

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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.