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Finding the Third Proportional to 458,336.25 and 986,883.75

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Solution

The third proportional to 458,336.25 and 986,883.75 is: 2,124,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,336.25 : 986,883.75 = 986,883.75 : x
  2. Step 2: Convert to fraction form
    458,336.25/986,883.75 = 986,883.75/x
  3. Step 3: Cross multiply
    458,336.25x = 986,883.75 × 986,883.75
  4. Step 4: Simplify right side
    458,336.25x = 973,939,536,014.06
  5. Step 5: Solve for x
    x = 973,939,536,014.06/458,336.25
  6. Step 6: Final answer
    x = 2,124,945.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.