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Finding the Third Proportional to 294,242.25 and 623,793.56

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Solution

The third proportional to 294,242.25 and 623,793.56 is: 1,322,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.25 : 623,793.56 = 623,793.56 : x
  2. Step 2: Convert to fraction form
    294,242.25/623,793.56 = 623,793.56/x
  3. Step 3: Cross multiply
    294,242.25x = 623,793.56 × 623,793.56
  4. Step 4: Simplify right side
    294,242.25x = 389,118,408,616.44
  5. Step 5: Solve for x
    x = 389,118,408,616.44/294,242.25
  6. Step 6: Final answer
    x = 1,322,442.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.