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Finding the Third Proportional to 304,857.84 and 452,865.09

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Solution

The third proportional to 304,857.84 and 452,865.09 is: 672,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,857.84 : 452,865.09 = 452,865.09 : x
  2. Step 2: Convert to fraction form
    304,857.84/452,865.09 = 452,865.09/x
  3. Step 3: Cross multiply
    304,857.84x = 452,865.09 × 452,865.09
  4. Step 4: Simplify right side
    304,857.84x = 205,086,793,137.20
  5. Step 5: Solve for x
    x = 205,086,793,137.20/304,857.84
  6. Step 6: Final answer
    x = 672,729.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.