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Finding the Third Proportional to 439,359.19 and 962,983.69

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Solution

The third proportional to 439,359.19 and 962,983.69 is: 2,110,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,359.19 : 962,983.69 = 962,983.69 : x
  2. Step 2: Convert to fraction form
    439,359.19/962,983.69 = 962,983.69/x
  3. Step 3: Cross multiply
    439,359.19x = 962,983.69 × 962,983.69
  4. Step 4: Simplify right side
    439,359.19x = 927,337,582,391.10
  5. Step 5: Solve for x
    x = 927,337,582,391.10/439,359.19
  6. Step 6: Final answer
    x = 2,110,659.36

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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.