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Finding the Third Proportional to 360,971 and 529,144

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Solution

The third proportional to 360,971 and 529,144 is: 775,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,971 : 529,144 = 529,144 : x
  2. Step 2: Convert to fraction form
    360,971/529,144 = 529,144/x
  3. Step 3: Cross multiply
    360,971x = 529,144 × 529,144
  4. Step 4: Simplify right side
    360,971x = 279,993,372,736
  5. Step 5: Solve for x
    x = 279,993,372,736/360,971
  6. Step 6: Final answer
    x = 775,667.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.