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Finding the Third Proportional to 405,751.78 and 633,193.03

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Solution

The third proportional to 405,751.78 and 633,193.03 is: 988,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,751.78 : 633,193.03 = 633,193.03 : x
  2. Step 2: Convert to fraction form
    405,751.78/633,193.03 = 633,193.03/x
  3. Step 3: Cross multiply
    405,751.78x = 633,193.03 × 633,193.03
  4. Step 4: Simplify right side
    405,751.78x = 400,933,414,823.56
  5. Step 5: Solve for x
    x = 400,933,414,823.56/405,751.78
  6. Step 6: Final answer
    x = 988,124.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.