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Finding the Third Proportional to 350,943.05 and 718,511.34

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Solution

The third proportional to 350,943.05 and 718,511.34 is: 1,471,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,943.05 : 718,511.34 = 718,511.34 : x
  2. Step 2: Convert to fraction form
    350,943.05/718,511.34 = 718,511.34/x
  3. Step 3: Cross multiply
    350,943.05x = 718,511.34 × 718,511.34
  4. Step 4: Simplify right side
    350,943.05x = 516,258,551,097.43
  5. Step 5: Solve for x
    x = 516,258,551,097.43/350,943.05
  6. Step 6: Final answer
    x = 1,471,060.78

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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.