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Finding the Third Proportional to 493,322 and 738,004

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Solution

The third proportional to 493,322 and 738,004 is: 1,104,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,322 : 738,004 = 738,004 : x
  2. Step 2: Convert to fraction form
    493,322/738,004 = 738,004/x
  3. Step 3: Cross multiply
    493,322x = 738,004 × 738,004
  4. Step 4: Simplify right side
    493,322x = 544,649,904,016
  5. Step 5: Solve for x
    x = 544,649,904,016/493,322
  6. Step 6: Final answer
    x = 1,104,045.44

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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.