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Finding the Third Proportional to 376,761 and 565,985

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Solution

The third proportional to 376,761 and 565,985 is: 850,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,761 : 565,985 = 565,985 : x
  2. Step 2: Convert to fraction form
    376,761/565,985 = 565,985/x
  3. Step 3: Cross multiply
    376,761x = 565,985 × 565,985
  4. Step 4: Simplify right side
    376,761x = 320,339,020,225
  5. Step 5: Solve for x
    x = 320,339,020,225/376,761
  6. Step 6: Final answer
    x = 850,244.64

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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.