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Finding the Third Proportional to 493,393 and 738,081

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Solution

The third proportional to 493,393 and 738,081 is: 1,104,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,393 : 738,081 = 738,081 : x
  2. Step 2: Convert to fraction form
    493,393/738,081 = 738,081/x
  3. Step 3: Cross multiply
    493,393x = 738,081 × 738,081
  4. Step 4: Simplify right side
    493,393x = 544,763,562,561
  5. Step 5: Solve for x
    x = 544,763,562,561/493,393
  6. Step 6: Final answer
    x = 1,104,116.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.