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Finding the Third Proportional to 376,164 and 576,054

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Solution

The third proportional to 376,164 and 576,054 is: 882,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,164 : 576,054 = 576,054 : x
  2. Step 2: Convert to fraction form
    376,164/576,054 = 576,054/x
  3. Step 3: Cross multiply
    376,164x = 576,054 × 576,054
  4. Step 4: Simplify right side
    376,164x = 331,838,210,916
  5. Step 5: Solve for x
    x = 331,838,210,916/376,164
  6. Step 6: Final answer
    x = 882,163.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.