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Finding the Third Proportional to 383,318 and 590,969

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Solution

The third proportional to 383,318 and 590,969 is: 911,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,318 : 590,969 = 590,969 : x
  2. Step 2: Convert to fraction form
    383,318/590,969 = 590,969/x
  3. Step 3: Cross multiply
    383,318x = 590,969 × 590,969
  4. Step 4: Simplify right side
    383,318x = 349,244,358,961
  5. Step 5: Solve for x
    x = 349,244,358,961/383,318
  6. Step 6: Final answer
    x = 911,108.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.