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Finding the Third Proportional to 304,818.75 and 669,974.63

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Solution

The third proportional to 304,818.75 and 669,974.63 is: 1,472,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818.75 : 669,974.63 = 669,974.63 : x
  2. Step 2: Convert to fraction form
    304,818.75/669,974.63 = 669,974.63/x
  3. Step 3: Cross multiply
    304,818.75x = 669,974.63 × 669,974.63
  4. Step 4: Simplify right side
    304,818.75x = 448,865,998,143.89
  5. Step 5: Solve for x
    x = 448,865,998,143.89/304,818.75
  6. Step 6: Final answer
    x = 1,472,566.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.