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Finding the Third Proportional to 376,188 and 576,091

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Solution

The third proportional to 376,188 and 576,091 is: 882,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,188 : 576,091 = 576,091 : x
  2. Step 2: Convert to fraction form
    376,188/576,091 = 576,091/x
  3. Step 3: Cross multiply
    376,188x = 576,091 × 576,091
  4. Step 4: Simplify right side
    376,188x = 331,880,840,281
  5. Step 5: Solve for x
    x = 331,880,840,281/376,188
  6. Step 6: Final answer
    x = 882,220.70

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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.