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Finding the Third Proportional to 381,728 and 604,353

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Solution

The third proportional to 381,728 and 604,353 is: 956,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,728 : 604,353 = 604,353 : x
  2. Step 2: Convert to fraction form
    381,728/604,353 = 604,353/x
  3. Step 3: Cross multiply
    381,728x = 604,353 × 604,353
  4. Step 4: Simplify right side
    381,728x = 365,242,548,609
  5. Step 5: Solve for x
    x = 365,242,548,609/381,728
  6. Step 6: Final answer
    x = 956,813.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.