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Finding the Third Proportional to 609,145.50 and 892,939.50

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Solution

The third proportional to 609,145.50 and 892,939.50 is: 1,308,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,145.50 : 892,939.50 = 892,939.50 : x
  2. Step 2: Convert to fraction form
    609,145.50/892,939.50 = 892,939.50/x
  3. Step 3: Cross multiply
    609,145.50x = 892,939.50 × 892,939.50
  4. Step 4: Simplify right side
    609,145.50x = 797,340,950,660.25
  5. Step 5: Solve for x
    x = 797,340,950,660.25/609,145.50
  6. Step 6: Final answer
    x = 1,308,949.92

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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.