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Finding the Third Proportional to 350,940.09 and 718,472.53

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Solution

The third proportional to 350,940.09 and 718,472.53 is: 1,470,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,940.09 : 718,472.53 = 718,472.53 : x
  2. Step 2: Convert to fraction form
    350,940.09/718,472.53 = 718,472.53/x
  3. Step 3: Cross multiply
    350,940.09x = 718,472.53 × 718,472.53
  4. Step 4: Simplify right side
    350,940.09x = 516,202,778,160.78
  5. Step 5: Solve for x
    x = 516,202,778,160.78/350,940.09
  6. Step 6: Final answer
    x = 1,470,914.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.