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Finding the Third Proportional to 326,675 and 490,013

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Solution

The third proportional to 326,675 and 490,013 is: 735,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,675 : 490,013 = 490,013 : x
  2. Step 2: Convert to fraction form
    326,675/490,013 = 490,013/x
  3. Step 3: Cross multiply
    326,675x = 490,013 × 490,013
  4. Step 4: Simplify right side
    326,675x = 240,112,740,169
  5. Step 5: Solve for x
    x = 240,112,740,169/326,675
  6. Step 6: Final answer
    x = 735,020.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.