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Finding the Third Proportional to 263,098.50 and 558,993

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Solution

The third proportional to 263,098.50 and 558,993 is: 1,187,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,098.50 : 558,993 = 558,993 : x
  2. Step 2: Convert to fraction form
    263,098.50/558,993 = 558,993/x
  3. Step 3: Cross multiply
    263,098.50x = 558,993 × 558,993
  4. Step 4: Simplify right side
    263,098.50x = 312,473,174,049
  5. Step 5: Solve for x
    x = 312,473,174,049/263,098.50
  6. Step 6: Final answer
    x = 1,187,666.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.