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Finding the Third Proportional to 330,744 and 525,648

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Solution

The third proportional to 330,744 and 525,648 is: 835,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,744 : 525,648 = 525,648 : x
  2. Step 2: Convert to fraction form
    330,744/525,648 = 525,648/x
  3. Step 3: Cross multiply
    330,744x = 525,648 × 525,648
  4. Step 4: Simplify right side
    330,744x = 276,305,819,904
  5. Step 5: Solve for x
    x = 276,305,819,904/330,744
  6. Step 6: Final answer
    x = 835,406.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.