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Finding the Third Proportional to 360,132 and 773,644

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Solution

The third proportional to 360,132 and 773,644 is: 1,661,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,132 : 773,644 = 773,644 : x
  2. Step 2: Convert to fraction form
    360,132/773,644 = 773,644/x
  3. Step 3: Cross multiply
    360,132x = 773,644 × 773,644
  4. Step 4: Simplify right side
    360,132x = 598,525,038,736
  5. Step 5: Solve for x
    x = 598,525,038,736/360,132
  6. Step 6: Final answer
    x = 1,661,960.17

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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.