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Finding the Third Proportional to 332,804 and 740,533

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Solution

The third proportional to 332,804 and 740,533 is: 1,647,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,804 : 740,533 = 740,533 : x
  2. Step 2: Convert to fraction form
    332,804/740,533 = 740,533/x
  3. Step 3: Cross multiply
    332,804x = 740,533 × 740,533
  4. Step 4: Simplify right side
    332,804x = 548,389,124,089
  5. Step 5: Solve for x
    x = 548,389,124,089/332,804
  6. Step 6: Final answer
    x = 1,647,784.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.