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Finding the Third Proportional to 330,804 and 525,738

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Solution

The third proportional to 330,804 and 525,738 is: 835,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,804 : 525,738 = 525,738 : x
  2. Step 2: Convert to fraction form
    330,804/525,738 = 525,738/x
  3. Step 3: Cross multiply
    330,804x = 525,738 × 525,738
  4. Step 4: Simplify right side
    330,804x = 276,400,444,644
  5. Step 5: Solve for x
    x = 276,400,444,644/330,804
  6. Step 6: Final answer
    x = 835,541.42

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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.