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Finding the Third Proportional to 271,773 and 578,629.13

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Solution

The third proportional to 271,773 and 578,629.13 is: 1,231,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,773 : 578,629.13 = 578,629.13 : x
  2. Step 2: Convert to fraction form
    271,773/578,629.13 = 578,629.13/x
  3. Step 3: Cross multiply
    271,773x = 578,629.13 × 578,629.13
  4. Step 4: Simplify right side
    271,773x = 334,811,664,298.27
  5. Step 5: Solve for x
    x = 334,811,664,298.27/271,773
  6. Step 6: Final answer
    x = 1,231,953.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.