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Finding the Third Proportional to 493,402 and 738,094

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Solution

The third proportional to 493,402 and 738,094 is: 1,104,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,402 : 738,094 = 738,094 : x
  2. Step 2: Convert to fraction form
    493,402/738,094 = 738,094/x
  3. Step 3: Cross multiply
    493,402x = 738,094 × 738,094
  4. Step 4: Simplify right side
    493,402x = 544,782,752,836
  5. Step 5: Solve for x
    x = 544,782,752,836/493,402
  6. Step 6: Final answer
    x = 1,104,135.68

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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.