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Finding the Third Proportional to 384,108 and 581,469

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Solution

The third proportional to 384,108 and 581,469 is: 880,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,108 : 581,469 = 581,469 : x
  2. Step 2: Convert to fraction form
    384,108/581,469 = 581,469/x
  3. Step 3: Cross multiply
    384,108x = 581,469 × 581,469
  4. Step 4: Simplify right side
    384,108x = 338,106,197,961
  5. Step 5: Solve for x
    x = 338,106,197,961/384,108
  6. Step 6: Final answer
    x = 880,237.32

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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.