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Finding the Third Proportional to 376,741 and 565,112.25

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Solution

The third proportional to 376,741 and 565,112.25 is: 847,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,741 : 565,112.25 = 565,112.25 : x
  2. Step 2: Convert to fraction form
    376,741/565,112.25 = 565,112.25/x
  3. Step 3: Cross multiply
    376,741x = 565,112.25 × 565,112.25
  4. Step 4: Simplify right side
    376,741x = 319,351,855,100.06
  5. Step 5: Solve for x
    x = 319,351,855,100.06/376,741
  6. Step 6: Final answer
    x = 847,669.50

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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.