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Finding the Third Proportional to 304,260.50 and 649,244

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Solution

The third proportional to 304,260.50 and 649,244 is: 1,385,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,260.50 : 649,244 = 649,244 : x
  2. Step 2: Convert to fraction form
    304,260.50/649,244 = 649,244/x
  3. Step 3: Cross multiply
    304,260.50x = 649,244 × 649,244
  4. Step 4: Simplify right side
    304,260.50x = 421,517,771,536
  5. Step 5: Solve for x
    x = 421,517,771,536/304,260.50
  6. Step 6: Final answer
    x = 1,385,384.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.