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Finding the Third Proportional to 326,490 and 682,500

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Solution

The third proportional to 326,490 and 682,500 is: 1,426,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,490 : 682,500 = 682,500 : x
  2. Step 2: Convert to fraction form
    326,490/682,500 = 682,500/x
  3. Step 3: Cross multiply
    326,490x = 682,500 × 682,500
  4. Step 4: Simplify right side
    326,490x = 465,806,250,000
  5. Step 5: Solve for x
    x = 465,806,250,000/326,490
  6. Step 6: Final answer
    x = 1,426,709.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.