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Finding the Third Proportional to 284,944 and 442,960

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Solution

The third proportional to 284,944 and 442,960 is: 688,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,944 : 442,960 = 442,960 : x
  2. Step 2: Convert to fraction form
    284,944/442,960 = 442,960/x
  3. Step 3: Cross multiply
    284,944x = 442,960 × 442,960
  4. Step 4: Simplify right side
    284,944x = 196,213,561,600
  5. Step 5: Solve for x
    x = 196,213,561,600/284,944
  6. Step 6: Final answer
    x = 688,603.94

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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.