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Finding the Third Proportional to 271,625.06 and 590,477.63

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Solution

The third proportional to 271,625.06 and 590,477.63 is: 1,283,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,625.06 : 590,477.63 = 590,477.63 : x
  2. Step 2: Convert to fraction form
    271,625.06/590,477.63 = 590,477.63/x
  3. Step 3: Cross multiply
    271,625.06x = 590,477.63 × 590,477.63
  4. Step 4: Simplify right side
    271,625.06x = 348,663,825,625.64
  5. Step 5: Solve for x
    x = 348,663,825,625.64/271,625.06
  6. Step 6: Final answer
    x = 1,283,621.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.