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Finding the Third Proportional to 327,491.86 and 716,083.03

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Solution

The third proportional to 327,491.86 and 716,083.03 is: 1,565,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,491.86 : 716,083.03 = 716,083.03 : x
  2. Step 2: Convert to fraction form
    327,491.86/716,083.03 = 716,083.03/x
  3. Step 3: Cross multiply
    327,491.86x = 716,083.03 × 716,083.03
  4. Step 4: Simplify right side
    327,491.86x = 512,774,907,644.19
  5. Step 5: Solve for x
    x = 512,774,907,644.19/327,491.86
  6. Step 6: Final answer
    x = 1,565,763.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.