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Finding the Third Proportional to 392,728 and 592,368

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Solution

The third proportional to 392,728 and 592,368 is: 893,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,728 : 592,368 = 592,368 : x
  2. Step 2: Convert to fraction form
    392,728/592,368 = 592,368/x
  3. Step 3: Cross multiply
    392,728x = 592,368 × 592,368
  4. Step 4: Simplify right side
    392,728x = 350,899,847,424
  5. Step 5: Solve for x
    x = 350,899,847,424/392,728
  6. Step 6: Final answer
    x = 893,493.33

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