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Finding the Third Proportional to 284,679 and 426,870

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Solution

The third proportional to 284,679 and 426,870 is: 640,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,679 : 426,870 = 426,870 : x
  2. Step 2: Convert to fraction form
    284,679/426,870 = 426,870/x
  3. Step 3: Cross multiply
    284,679x = 426,870 × 426,870
  4. Step 4: Simplify right side
    284,679x = 182,217,996,900
  5. Step 5: Solve for x
    x = 182,217,996,900/284,679
  6. Step 6: Final answer
    x = 640,082.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.