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Finding the Third Proportional to 454,886 and 713,493

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Solution

The third proportional to 454,886 and 713,493 is: 1,119,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,886 : 713,493 = 713,493 : x
  2. Step 2: Convert to fraction form
    454,886/713,493 = 713,493/x
  3. Step 3: Cross multiply
    454,886x = 713,493 × 713,493
  4. Step 4: Simplify right side
    454,886x = 509,072,261,049
  5. Step 5: Solve for x
    x = 509,072,261,049/454,886
  6. Step 6: Final answer
    x = 1,119,120.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.