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Finding the Third Proportional to 324,461 and 693,760

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Solution

The third proportional to 324,461 and 693,760 is: 1,483,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,461 : 693,760 = 693,760 : x
  2. Step 2: Convert to fraction form
    324,461/693,760 = 693,760/x
  3. Step 3: Cross multiply
    324,461x = 693,760 × 693,760
  4. Step 4: Simplify right side
    324,461x = 481,302,937,600
  5. Step 5: Solve for x
    x = 481,302,937,600/324,461
  6. Step 6: Final answer
    x = 1,483,392.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.