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Finding the Third Proportional to 284,975 and 443,018.50

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Solution

The third proportional to 284,975 and 443,018.50 is: 688,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,975 : 443,018.50 = 443,018.50 : x
  2. Step 2: Convert to fraction form
    284,975/443,018.50 = 443,018.50/x
  3. Step 3: Cross multiply
    284,975x = 443,018.50 × 443,018.50
  4. Step 4: Simplify right side
    284,975x = 196,265,391,342.25
  5. Step 5: Solve for x
    x = 196,265,391,342.25/284,975
  6. Step 6: Final answer
    x = 688,710.91

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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.