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Finding the Third Proportional to 493,395 and 738,148.50

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Solution

The third proportional to 493,395 and 738,148.50 is: 1,104,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,395 : 738,148.50 = 738,148.50 : x
  2. Step 2: Convert to fraction form
    493,395/738,148.50 = 738,148.50/x
  3. Step 3: Cross multiply
    493,395x = 738,148.50 × 738,148.50
  4. Step 4: Simplify right side
    493,395x = 544,863,208,052.25
  5. Step 5: Solve for x
    x = 544,863,208,052.25/493,395
  6. Step 6: Final answer
    x = 1,104,314.41

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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.