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Finding the Third Proportional to 326,625.75 and 513,270

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Solution

The third proportional to 326,625.75 and 513,270 is: 806,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,625.75 : 513,270 = 513,270 : x
  2. Step 2: Convert to fraction form
    326,625.75/513,270 = 513,270/x
  3. Step 3: Cross multiply
    326,625.75x = 513,270 × 513,270
  4. Step 4: Simplify right side
    326,625.75x = 263,446,092,900
  5. Step 5: Solve for x
    x = 263,446,092,900/326,625.75
  6. Step 6: Final answer
    x = 806,568.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.