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Finding the Third Proportional to 422,134.75 and 632,047.75

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Solution

The third proportional to 422,134.75 and 632,047.75 is: 946,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,134.75 : 632,047.75 = 632,047.75 : x
  2. Step 2: Convert to fraction form
    422,134.75/632,047.75 = 632,047.75/x
  3. Step 3: Cross multiply
    422,134.75x = 632,047.75 × 632,047.75
  4. Step 4: Simplify right side
    422,134.75x = 399,484,358,280.06
  5. Step 5: Solve for x
    x = 399,484,358,280.06/422,134.75
  6. Step 6: Final answer
    x = 946,343.22

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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.