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Finding the Third Proportional to 271,153.83 and 590,436.84

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Solution

The third proportional to 271,153.83 and 590,436.84 is: 1,285,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,153.83 : 590,436.84 = 590,436.84 : x
  2. Step 2: Convert to fraction form
    271,153.83/590,436.84 = 590,436.84/x
  3. Step 3: Cross multiply
    271,153.83x = 590,436.84 × 590,436.84
  4. Step 4: Simplify right side
    271,153.83x = 348,615,666,457.46
  5. Step 5: Solve for x
    x = 348,615,666,457.46/271,153.83
  6. Step 6: Final answer
    x = 1,285,674.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.