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Finding the Third Proportional to 284,948 and 442,965

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Solution

The third proportional to 284,948 and 442,965 is: 688,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,948 : 442,965 = 442,965 : x
  2. Step 2: Convert to fraction form
    284,948/442,965 = 442,965/x
  3. Step 3: Cross multiply
    284,948x = 442,965 × 442,965
  4. Step 4: Simplify right side
    284,948x = 196,217,991,225
  5. Step 5: Solve for x
    x = 196,217,991,225/284,948
  6. Step 6: Final answer
    x = 688,609.82

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Why These Related Problems?

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