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Finding the Third Proportional to 326,025 and 700,251.75

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Solution

The third proportional to 326,025 and 700,251.75 is: 1,504,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,025 : 700,251.75 = 700,251.75 : x
  2. Step 2: Convert to fraction form
    326,025/700,251.75 = 700,251.75/x
  3. Step 3: Cross multiply
    326,025x = 700,251.75 × 700,251.75
  4. Step 4: Simplify right side
    326,025x = 490,352,513,378.06
  5. Step 5: Solve for x
    x = 490,352,513,378.06/326,025
  6. Step 6: Final answer
    x = 1,504,033.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.