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Finding the Third Proportional to 420,120 and 630,485.44

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Solution

The third proportional to 420,120 and 630,485.44 is: 946,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,120 : 630,485.44 = 630,485.44 : x
  2. Step 2: Convert to fraction form
    420,120/630,485.44 = 630,485.44/x
  3. Step 3: Cross multiply
    420,120x = 630,485.44 × 630,485.44
  4. Step 4: Simplify right side
    420,120x = 397,511,886,899.57
  5. Step 5: Solve for x
    x = 397,511,886,899.57/420,120
  6. Step 6: Final answer
    x = 946,186.53

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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.