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Finding the Third Proportional to 445,617.25 and 962,259.25

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Solution

The third proportional to 445,617.25 and 962,259.25 is: 2,077,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,617.25 : 962,259.25 = 962,259.25 : x
  2. Step 2: Convert to fraction form
    445,617.25/962,259.25 = 962,259.25/x
  3. Step 3: Cross multiply
    445,617.25x = 962,259.25 × 962,259.25
  4. Step 4: Simplify right side
    445,617.25x = 925,942,864,210.56
  5. Step 5: Solve for x
    x = 925,942,864,210.56/445,617.25
  6. Step 6: Final answer
    x = 2,077,888.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.