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Finding the Third Proportional to 176,586 and 377,409

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Solution

The third proportional to 176,586 and 377,409 is: 806,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,586 : 377,409 = 377,409 : x
  2. Step 2: Convert to fraction form
    176,586/377,409 = 377,409/x
  3. Step 3: Cross multiply
    176,586x = 377,409 × 377,409
  4. Step 4: Simplify right side
    176,586x = 142,437,553,281
  5. Step 5: Solve for x
    x = 142,437,553,281/176,586
  6. Step 6: Final answer
    x = 806,618.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.