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Finding the Third Proportional to 284,299.50 and 443,554.50

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Solution

The third proportional to 284,299.50 and 443,554.50 is: 692,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,299.50 : 443,554.50 = 443,554.50 : x
  2. Step 2: Convert to fraction form
    284,299.50/443,554.50 = 443,554.50/x
  3. Step 3: Cross multiply
    284,299.50x = 443,554.50 × 443,554.50
  4. Step 4: Simplify right side
    284,299.50x = 196,740,594,470.25
  5. Step 5: Solve for x
    x = 196,740,594,470.25/284,299.50
  6. Step 6: Final answer
    x = 692,018.78

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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.