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Finding the Third Proportional to 326,409.75 and 591,310.13

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Solution

The third proportional to 326,409.75 and 591,310.13 is: 1,071,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,409.75 : 591,310.13 = 591,310.13 : x
  2. Step 2: Convert to fraction form
    326,409.75/591,310.13 = 591,310.13/x
  3. Step 3: Cross multiply
    326,409.75x = 591,310.13 × 591,310.13
  4. Step 4: Simplify right side
    326,409.75x = 349,647,663,927.52
  5. Step 5: Solve for x
    x = 349,647,663,927.52/326,409.75
  6. Step 6: Final answer
    x = 1,071,192.46

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.