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Finding the Third Proportional to 481,601.44 and 708,437.25

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Solution

The third proportional to 481,601.44 and 708,437.25 is: 1,042,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,601.44 : 708,437.25 = 708,437.25 : x
  2. Step 2: Convert to fraction form
    481,601.44/708,437.25 = 708,437.25/x
  3. Step 3: Cross multiply
    481,601.44x = 708,437.25 × 708,437.25
  4. Step 4: Simplify right side
    481,601.44x = 501,883,337,187.56
  5. Step 5: Solve for x
    x = 501,883,337,187.56/481,601.44
  6. Step 6: Final answer
    x = 1,042,113.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.