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Finding the Third Proportional to 326,256.75 and 718,710.75

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Solution

The third proportional to 326,256.75 and 718,710.75 is: 1,583,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,256.75 : 718,710.75 = 718,710.75 : x
  2. Step 2: Convert to fraction form
    326,256.75/718,710.75 = 718,710.75/x
  3. Step 3: Cross multiply
    326,256.75x = 718,710.75 × 718,710.75
  4. Step 4: Simplify right side
    326,256.75x = 516,545,142,165.56
  5. Step 5: Solve for x
    x = 516,545,142,165.56/326,256.75
  6. Step 6: Final answer
    x = 1,583,247.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.