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Finding the Third Proportional to 304,860.94 and 452,869.31

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Solution

The third proportional to 304,860.94 and 452,869.31 is: 672,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,860.94 : 452,869.31 = 452,869.31 : x
  2. Step 2: Convert to fraction form
    304,860.94/452,869.31 = 452,869.31/x
  3. Step 3: Cross multiply
    304,860.94x = 452,869.31 × 452,869.31
  4. Step 4: Simplify right side
    304,860.94x = 205,090,614,204.22
  5. Step 5: Solve for x
    x = 205,090,614,204.22/304,860.94
  6. Step 6: Final answer
    x = 672,734.97

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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.