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Finding the Third Proportional to 304,818.75 and 468,705.38

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Solution

The third proportional to 304,818.75 and 468,705.38 is: 720,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818.75 : 468,705.38 = 468,705.38 : x
  2. Step 2: Convert to fraction form
    304,818.75/468,705.38 = 468,705.38/x
  3. Step 3: Cross multiply
    304,818.75x = 468,705.38 × 468,705.38
  4. Step 4: Simplify right side
    304,818.75x = 219,684,728,553.89
  5. Step 5: Solve for x
    x = 219,684,728,553.89/304,818.75
  6. Step 6: Final answer
    x = 720,706.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.