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Finding the Third Proportional to 304,867.13 and 452,892.94

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Solution

The third proportional to 304,867.13 and 452,892.94 is: 672,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,867.13 : 452,892.94 = 452,892.94 : x
  2. Step 2: Convert to fraction form
    304,867.13/452,892.94 = 452,892.94/x
  3. Step 3: Cross multiply
    304,867.13x = 452,892.94 × 452,892.94
  4. Step 4: Simplify right side
    304,867.13x = 205,112,012,837.38
  5. Step 5: Solve for x
    x = 205,112,012,837.38/304,867.13
  6. Step 6: Final answer
    x = 672,791.51

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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.