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Finding the Third Proportional to 455,620 and 701,268

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Solution

The third proportional to 455,620 and 701,268 is: 1,079,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,620 : 701,268 = 701,268 : x
  2. Step 2: Convert to fraction form
    455,620/701,268 = 701,268/x
  3. Step 3: Cross multiply
    455,620x = 701,268 × 701,268
  4. Step 4: Simplify right side
    455,620x = 491,776,807,824
  5. Step 5: Solve for x
    x = 491,776,807,824/455,620
  6. Step 6: Final answer
    x = 1,079,357.38

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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.