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Finding the Third Proportional to 376,186 and 576,088

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Solution

The third proportional to 376,186 and 576,088 is: 882,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,186 : 576,088 = 576,088 : x
  2. Step 2: Convert to fraction form
    376,186/576,088 = 576,088/x
  3. Step 3: Cross multiply
    376,186x = 576,088 × 576,088
  4. Step 4: Simplify right side
    376,186x = 331,877,383,744
  5. Step 5: Solve for x
    x = 331,877,383,744/376,186
  6. Step 6: Final answer
    x = 882,216.20

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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.