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Finding the Third Proportional to 236,065.50 and 509,823

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Solution

The third proportional to 236,065.50 and 509,823 is: 1,101,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,065.50 : 509,823 = 509,823 : x
  2. Step 2: Convert to fraction form
    236,065.50/509,823 = 509,823/x
  3. Step 3: Cross multiply
    236,065.50x = 509,823 × 509,823
  4. Step 4: Simplify right side
    236,065.50x = 259,919,491,329
  5. Step 5: Solve for x
    x = 259,919,491,329/236,065.50
  6. Step 6: Final answer
    x = 1,101,048.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.