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Finding the Third Proportional to 493,323 and 738,006

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Solution

The third proportional to 493,323 and 738,006 is: 1,104,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323 : 738,006 = 738,006 : x
  2. Step 2: Convert to fraction form
    493,323/738,006 = 738,006/x
  3. Step 3: Cross multiply
    493,323x = 738,006 × 738,006
  4. Step 4: Simplify right side
    493,323x = 544,652,856,036
  5. Step 5: Solve for x
    x = 544,652,856,036/493,323
  6. Step 6: Final answer
    x = 1,104,049.18

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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.