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Finding the Third Proportional to 493,325 and 738,009

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Solution

The third proportional to 493,325 and 738,009 is: 1,104,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,325 : 738,009 = 738,009 : x
  2. Step 2: Convert to fraction form
    493,325/738,009 = 738,009/x
  3. Step 3: Cross multiply
    493,325x = 738,009 × 738,009
  4. Step 4: Simplify right side
    493,325x = 544,657,284,081
  5. Step 5: Solve for x
    x = 544,657,284,081/493,325
  6. Step 6: Final answer
    x = 1,104,053.68

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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.