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Finding the Third Proportional to 376,655 and 587,825

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Solution

The third proportional to 376,655 and 587,825 is: 917,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,655 : 587,825 = 587,825 : x
  2. Step 2: Convert to fraction form
    376,655/587,825 = 587,825/x
  3. Step 3: Cross multiply
    376,655x = 587,825 × 587,825
  4. Step 4: Simplify right side
    376,655x = 345,538,230,625
  5. Step 5: Solve for x
    x = 345,538,230,625/376,655
  6. Step 6: Final answer
    x = 917,386.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.