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Finding the Third Proportional to 273,467.63 and 413,975.63

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Solution

The third proportional to 273,467.63 and 413,975.63 is: 626,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,467.63 : 413,975.63 = 413,975.63 : x
  2. Step 2: Convert to fraction form
    273,467.63/413,975.63 = 413,975.63/x
  3. Step 3: Cross multiply
    273,467.63x = 413,975.63 × 413,975.63
  4. Step 4: Simplify right side
    273,467.63x = 171,375,818,094.14
  5. Step 5: Solve for x
    x = 171,375,818,094.14/273,467.63
  6. Step 6: Final answer
    x = 626,676.81

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