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Finding the Third Proportional to 376,741 and 565,112

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Solution

The third proportional to 376,741 and 565,112 is: 847,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,741 : 565,112 = 565,112 : x
  2. Step 2: Convert to fraction form
    376,741/565,112 = 565,112/x
  3. Step 3: Cross multiply
    376,741x = 565,112 × 565,112
  4. Step 4: Simplify right side
    376,741x = 319,351,572,544
  5. Step 5: Solve for x
    x = 319,351,572,544/376,741
  6. Step 6: Final answer
    x = 847,668.75

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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.