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Finding the Third Proportional to 345,008 and 523,736

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Solution

The third proportional to 345,008 and 523,736 is: 795,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,008 : 523,736 = 523,736 : x
  2. Step 2: Convert to fraction form
    345,008/523,736 = 523,736/x
  3. Step 3: Cross multiply
    345,008x = 523,736 × 523,736
  4. Step 4: Simplify right side
    345,008x = 274,299,397,696
  5. Step 5: Solve for x
    x = 274,299,397,696/345,008
  6. Step 6: Final answer
    x = 795,052.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.