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Finding the Third Proportional to 304,869.19 and 452,883.38

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Solution

The third proportional to 304,869.19 and 452,883.38 is: 672,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,869.19 : 452,883.38 = 452,883.38 : x
  2. Step 2: Convert to fraction form
    304,869.19/452,883.38 = 452,883.38/x
  3. Step 3: Cross multiply
    304,869.19x = 452,883.38 × 452,883.38
  4. Step 4: Simplify right side
    304,869.19x = 205,103,351,351.39
  5. Step 5: Solve for x
    x = 205,103,351,351.39/304,869.19
  6. Step 6: Final answer
    x = 672,758.55

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Why These Related Problems?

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