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Finding the Third Proportional to 350,948.81 and 718,489.13

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Solution

The third proportional to 350,948.81 and 718,489.13 is: 1,470,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,948.81 : 718,489.13 = 718,489.13 : x
  2. Step 2: Convert to fraction form
    350,948.81/718,489.13 = 718,489.13/x
  3. Step 3: Cross multiply
    350,948.81x = 718,489.13 × 718,489.13
  4. Step 4: Simplify right side
    350,948.81x = 516,226,622,743.27
  5. Step 5: Solve for x
    x = 516,226,622,743.27/350,948.81
  6. Step 6: Final answer
    x = 1,470,945.63

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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.