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Finding the Third Proportional to 458,323.31 and 986,858.44

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Solution

The third proportional to 458,323.31 and 986,858.44 is: 2,124,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,323.31 : 986,858.44 = 986,858.44 : x
  2. Step 2: Convert to fraction form
    458,323.31/986,858.44 = 986,858.44/x
  3. Step 3: Cross multiply
    458,323.31x = 986,858.44 × 986,858.44
  4. Step 4: Simplify right side
    458,323.31x = 973,889,575,664.94
  5. Step 5: Solve for x
    x = 973,889,575,664.94/458,323.31
  6. Step 6: Final answer
    x = 2,124,896.44

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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.