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Finding the Third Proportional to 393,508 and 594,942

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Solution

The third proportional to 393,508 and 594,942 is: 899,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,508 : 594,942 = 594,942 : x
  2. Step 2: Convert to fraction form
    393,508/594,942 = 594,942/x
  3. Step 3: Cross multiply
    393,508x = 594,942 × 594,942
  4. Step 4: Simplify right side
    393,508x = 353,955,983,364
  5. Step 5: Solve for x
    x = 353,955,983,364/393,508
  6. Step 6: Final answer
    x = 899,488.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.