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Finding the Third Proportional to 422,440 and 654,532.50

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Solution

The third proportional to 422,440 and 654,532.50 is: 1,014,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,440 : 654,532.50 = 654,532.50 : x
  2. Step 2: Convert to fraction form
    422,440/654,532.50 = 654,532.50/x
  3. Step 3: Cross multiply
    422,440x = 654,532.50 × 654,532.50
  4. Step 4: Simplify right side
    422,440x = 428,412,793,556.25
  5. Step 5: Solve for x
    x = 428,412,793,556.25/422,440
  6. Step 6: Final answer
    x = 1,014,138.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.