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Finding the Third Proportional to 382,983 and 606,156

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Solution

The third proportional to 382,983 and 606,156 is: 959,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,983 : 606,156 = 606,156 : x
  2. Step 2: Convert to fraction form
    382,983/606,156 = 606,156/x
  3. Step 3: Cross multiply
    382,983x = 606,156 × 606,156
  4. Step 4: Simplify right side
    382,983x = 367,425,096,336
  5. Step 5: Solve for x
    x = 367,425,096,336/382,983
  6. Step 6: Final answer
    x = 959,377.04

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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.