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Finding the Third Proportional to 373,894.42 and 815,460.54

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Solution

The third proportional to 373,894.42 and 815,460.54 is: 1,778,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,894.42 : 815,460.54 = 815,460.54 : x
  2. Step 2: Convert to fraction form
    373,894.42/815,460.54 = 815,460.54/x
  3. Step 3: Cross multiply
    373,894.42x = 815,460.54 × 815,460.54
  4. Step 4: Simplify right side
    373,894.42x = 664,975,890,768.10
  5. Step 5: Solve for x
    x = 664,975,890,768.10/373,894.42
  6. Step 6: Final answer
    x = 1,778,512.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.