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Finding the Third Proportional to 327,052 and 439,516

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Solution

The third proportional to 327,052 and 439,516 is: 590,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,052 : 439,516 = 439,516 : x
  2. Step 2: Convert to fraction form
    327,052/439,516 = 439,516/x
  3. Step 3: Cross multiply
    327,052x = 439,516 × 439,516
  4. Step 4: Simplify right side
    327,052x = 193,174,314,256
  5. Step 5: Solve for x
    x = 193,174,314,256/327,052
  6. Step 6: Final answer
    x = 590,653.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.