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Finding the Third Proportional to 376,840 and 566,068

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Solution

The third proportional to 376,840 and 566,068 is: 850,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,840 : 566,068 = 566,068 : x
  2. Step 2: Convert to fraction form
    376,840/566,068 = 566,068/x
  3. Step 3: Cross multiply
    376,840x = 566,068 × 566,068
  4. Step 4: Simplify right side
    376,840x = 320,432,980,624
  5. Step 5: Solve for x
    x = 320,432,980,624/376,840
  6. Step 6: Final answer
    x = 850,315.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.