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Finding the Third Proportional to 449,146.50 and 675,542.25

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Solution

The third proportional to 449,146.50 and 675,542.25 is: 1,016,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,146.50 : 675,542.25 = 675,542.25 : x
  2. Step 2: Convert to fraction form
    449,146.50/675,542.25 = 675,542.25/x
  3. Step 3: Cross multiply
    449,146.50x = 675,542.25 × 675,542.25
  4. Step 4: Simplify right side
    449,146.50x = 456,357,331,535.06
  5. Step 5: Solve for x
    x = 456,357,331,535.06/449,146.50
  6. Step 6: Final answer
    x = 1,016,054.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.