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Finding the Third Proportional to 273,409.17 and 646,002.21

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Solution

The third proportional to 273,409.17 and 646,002.21 is: 1,526,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,409.17 : 646,002.21 = 646,002.21 : x
  2. Step 2: Convert to fraction form
    273,409.17/646,002.21 = 646,002.21/x
  3. Step 3: Cross multiply
    273,409.17x = 646,002.21 × 646,002.21
  4. Step 4: Simplify right side
    273,409.17x = 417,318,856,536.14
  5. Step 5: Solve for x
    x = 417,318,856,536.14/273,409.17
  6. Step 6: Final answer
    x = 1,526,352.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.