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Finding the Third Proportional to 360,119 and 773,614

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Solution

The third proportional to 360,119 and 773,614 is: 1,661,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,119 : 773,614 = 773,614 : x
  2. Step 2: Convert to fraction form
    360,119/773,614 = 773,614/x
  3. Step 3: Cross multiply
    360,119x = 773,614 × 773,614
  4. Step 4: Simplify right side
    360,119x = 598,478,620,996
  5. Step 5: Solve for x
    x = 598,478,620,996/360,119
  6. Step 6: Final answer
    x = 1,661,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.