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Finding the Third Proportional to 329,022 and 718,267.50

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Solution

The third proportional to 329,022 and 718,267.50 is: 1,568,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,022 : 718,267.50 = 718,267.50 : x
  2. Step 2: Convert to fraction form
    329,022/718,267.50 = 718,267.50/x
  3. Step 3: Cross multiply
    329,022x = 718,267.50 × 718,267.50
  4. Step 4: Simplify right side
    329,022x = 515,908,201,556.25
  5. Step 5: Solve for x
    x = 515,908,201,556.25/329,022
  6. Step 6: Final answer
    x = 1,568,005.18

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Why These Related Problems?

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