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Finding the Third Proportional to 326,034 and 673,020

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Solution

The third proportional to 326,034 and 673,020 is: 1,389,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,034 : 673,020 = 673,020 : x
  2. Step 2: Convert to fraction form
    326,034/673,020 = 673,020/x
  3. Step 3: Cross multiply
    326,034x = 673,020 × 673,020
  4. Step 4: Simplify right side
    326,034x = 452,955,920,400
  5. Step 5: Solve for x
    x = 452,955,920,400/326,034
  6. Step 6: Final answer
    x = 1,389,290.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.