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Finding the Third Proportional to 442,845 and 704,994

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Solution

The third proportional to 442,845 and 704,994 is: 1,122,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,845 : 704,994 = 704,994 : x
  2. Step 2: Convert to fraction form
    442,845/704,994 = 704,994/x
  3. Step 3: Cross multiply
    442,845x = 704,994 × 704,994
  4. Step 4: Simplify right side
    442,845x = 497,016,540,036
  5. Step 5: Solve for x
    x = 497,016,540,036/442,845
  6. Step 6: Final answer
    x = 1,122,326.19

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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.