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Finding the Third Proportional to 383,082 and 606,294

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Solution

The third proportional to 383,082 and 606,294 is: 959,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,082 : 606,294 = 606,294 : x
  2. Step 2: Convert to fraction form
    383,082/606,294 = 606,294/x
  3. Step 3: Cross multiply
    383,082x = 606,294 × 606,294
  4. Step 4: Simplify right side
    383,082x = 367,592,414,436
  5. Step 5: Solve for x
    x = 367,592,414,436/383,082
  6. Step 6: Final answer
    x = 959,565.87

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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.