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Finding the Third Proportional to 284,946 and 442,962

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Solution

The third proportional to 284,946 and 442,962 is: 688,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,946 : 442,962 = 442,962 : x
  2. Step 2: Convert to fraction form
    284,946/442,962 = 442,962/x
  3. Step 3: Cross multiply
    284,946x = 442,962 × 442,962
  4. Step 4: Simplify right side
    284,946x = 196,215,333,444
  5. Step 5: Solve for x
    x = 196,215,333,444/284,946
  6. Step 6: Final answer
    x = 688,605.33

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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.