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Finding the Third Proportional to 304,254.98 and 649,231.45

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Solution

The third proportional to 304,254.98 and 649,231.45 is: 1,385,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,254.98 : 649,231.45 = 649,231.45 : x
  2. Step 2: Convert to fraction form
    304,254.98/649,231.45 = 649,231.45/x
  3. Step 3: Cross multiply
    304,254.98x = 649,231.45 × 649,231.45
  4. Step 4: Simplify right side
    304,254.98x = 421,501,479,726.80
  5. Step 5: Solve for x
    x = 421,501,479,726.80/304,254.98
  6. Step 6: Final answer
    x = 1,385,356.04

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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.