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Finding the Third Proportional to 379,144 and 576,908

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Solution

The third proportional to 379,144 and 576,908 is: 877,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,144 : 576,908 = 576,908 : x
  2. Step 2: Convert to fraction form
    379,144/576,908 = 576,908/x
  3. Step 3: Cross multiply
    379,144x = 576,908 × 576,908
  4. Step 4: Simplify right side
    379,144x = 332,822,840,464
  5. Step 5: Solve for x
    x = 332,822,840,464/379,144
  6. Step 6: Final answer
    x = 877,827.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.