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Finding the Third Proportional to 362,361 and 768,570

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Solution

The third proportional to 362,361 and 768,570 is: 1,630,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,361 : 768,570 = 768,570 : x
  2. Step 2: Convert to fraction form
    362,361/768,570 = 768,570/x
  3. Step 3: Cross multiply
    362,361x = 768,570 × 768,570
  4. Step 4: Simplify right side
    362,361x = 590,699,844,900
  5. Step 5: Solve for x
    x = 590,699,844,900/362,361
  6. Step 6: Final answer
    x = 1,630,141.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.