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Finding the Third Proportional to 401,972.63 and 862,245

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Solution

The third proportional to 401,972.63 and 862,245 is: 1,849,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,972.63 : 862,245 = 862,245 : x
  2. Step 2: Convert to fraction form
    401,972.63/862,245 = 862,245/x
  3. Step 3: Cross multiply
    401,972.63x = 862,245 × 862,245
  4. Step 4: Simplify right side
    401,972.63x = 743,466,440,025
  5. Step 5: Solve for x
    x = 743,466,440,025/401,972.63
  6. Step 6: Final answer
    x = 1,849,544.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.