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Finding the Third Proportional to 326,174 and 459,323

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Solution

The third proportional to 326,174 and 459,323 is: 646,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,174 : 459,323 = 459,323 : x
  2. Step 2: Convert to fraction form
    326,174/459,323 = 459,323/x
  3. Step 3: Cross multiply
    326,174x = 459,323 × 459,323
  4. Step 4: Simplify right side
    326,174x = 210,977,618,329
  5. Step 5: Solve for x
    x = 210,977,618,329/326,174
  6. Step 6: Final answer
    x = 646,825.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.