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Finding the Third Proportional to 420,121.50 and 630,489

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Solution

The third proportional to 420,121.50 and 630,489 is: 946,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,121.50 : 630,489 = 630,489 : x
  2. Step 2: Convert to fraction form
    420,121.50/630,489 = 630,489/x
  3. Step 3: Cross multiply
    420,121.50x = 630,489 × 630,489
  4. Step 4: Simplify right side
    420,121.50x = 397,516,379,121
  5. Step 5: Solve for x
    x = 397,516,379,121/420,121.50
  6. Step 6: Final answer
    x = 946,193.85

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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.