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Finding the Third Proportional to 263,110.50 and 559,017

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Solution

The third proportional to 263,110.50 and 559,017 is: 1,187,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,110.50 : 559,017 = 559,017 : x
  2. Step 2: Convert to fraction form
    263,110.50/559,017 = 559,017/x
  3. Step 3: Cross multiply
    263,110.50x = 559,017 × 559,017
  4. Step 4: Simplify right side
    263,110.50x = 312,500,006,289
  5. Step 5: Solve for x
    x = 312,500,006,289/263,110.50
  6. Step 6: Final answer
    x = 1,187,713.93

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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.