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Finding the Third Proportional to 454,144 and 687,504

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Solution

The third proportional to 454,144 and 687,504 is: 1,040,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,144 : 687,504 = 687,504 : x
  2. Step 2: Convert to fraction form
    454,144/687,504 = 687,504/x
  3. Step 3: Cross multiply
    454,144x = 687,504 × 687,504
  4. Step 4: Simplify right side
    454,144x = 472,661,750,016
  5. Step 5: Solve for x
    x = 472,661,750,016/454,144
  6. Step 6: Final answer
    x = 1,040,775.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.