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Finding the Third Proportional to 455,598 and 701,241

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Solution

The third proportional to 455,598 and 701,241 is: 1,079,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,598 : 701,241 = 701,241 : x
  2. Step 2: Convert to fraction form
    455,598/701,241 = 701,241/x
  3. Step 3: Cross multiply
    455,598x = 701,241 × 701,241
  4. Step 4: Simplify right side
    455,598x = 491,738,940,081
  5. Step 5: Solve for x
    x = 491,738,940,081/455,598
  6. Step 6: Final answer
    x = 1,079,326.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.