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Finding the Third Proportional to 284,933 and 442,942

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Solution

The third proportional to 284,933 and 442,942 is: 688,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,933 : 442,942 = 442,942 : x
  2. Step 2: Convert to fraction form
    284,933/442,942 = 442,942/x
  3. Step 3: Cross multiply
    284,933x = 442,942 × 442,942
  4. Step 4: Simplify right side
    284,933x = 196,197,615,364
  5. Step 5: Solve for x
    x = 196,197,615,364/284,933
  6. Step 6: Final answer
    x = 688,574.56

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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.