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Finding the Third Proportional to 301,815 and 452,757

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Solution

The third proportional to 301,815 and 452,757 is: 679,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,815 : 452,757 = 452,757 : x
  2. Step 2: Convert to fraction form
    301,815/452,757 = 452,757/x
  3. Step 3: Cross multiply
    301,815x = 452,757 × 452,757
  4. Step 4: Simplify right side
    301,815x = 204,988,901,049
  5. Step 5: Solve for x
    x = 204,988,901,049/301,815
  6. Step 6: Final answer
    x = 679,187.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.