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Finding the Third Proportional to 273,493.13 and 414,018

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Solution

The third proportional to 273,493.13 and 414,018 is: 626,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,493.13 : 414,018 = 414,018 : x
  2. Step 2: Convert to fraction form
    273,493.13/414,018 = 414,018/x
  3. Step 3: Cross multiply
    273,493.13x = 414,018 × 414,018
  4. Step 4: Simplify right side
    273,493.13x = 171,410,904,324
  5. Step 5: Solve for x
    x = 171,410,904,324/273,493.13
  6. Step 6: Final answer
    x = 626,746.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.