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Finding the Third Proportional to 420,114.75 and 630,479.25

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Solution

The third proportional to 420,114.75 and 630,479.25 is: 946,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,114.75 : 630,479.25 = 630,479.25 : x
  2. Step 2: Convert to fraction form
    420,114.75/630,479.25 = 630,479.25/x
  3. Step 3: Cross multiply
    420,114.75x = 630,479.25 × 630,479.25
  4. Step 4: Simplify right side
    420,114.75x = 397,504,084,680.56
  5. Step 5: Solve for x
    x = 397,504,084,680.56/420,114.75
  6. Step 6: Final answer
    x = 946,179.79

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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.