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Finding the Third Proportional to 284,292 and 443,542.50

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Solution

The third proportional to 284,292 and 443,542.50 is: 691,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,292 : 443,542.50 = 443,542.50 : x
  2. Step 2: Convert to fraction form
    284,292/443,542.50 = 443,542.50/x
  3. Step 3: Cross multiply
    284,292x = 443,542.50 × 443,542.50
  4. Step 4: Simplify right side
    284,292x = 196,729,949,306.25
  5. Step 5: Solve for x
    x = 196,729,949,306.25/284,292
  6. Step 6: Final answer
    x = 691,999.60

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.