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Finding the Third Proportional to 286,586.44 and 607,309.31

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Solution

The third proportional to 286,586.44 and 607,309.31 is: 1,286,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,586.44 : 607,309.31 = 607,309.31 : x
  2. Step 2: Convert to fraction form
    286,586.44/607,309.31 = 607,309.31/x
  3. Step 3: Cross multiply
    286,586.44x = 607,309.31 × 607,309.31
  4. Step 4: Simplify right side
    286,586.44x = 368,824,601,049.22
  5. Step 5: Solve for x
    x = 368,824,601,049.22/286,586.44
  6. Step 6: Final answer
    x = 1,286,957.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.