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Finding the Third Proportional to 298,969 and 436,942

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Solution

The third proportional to 298,969 and 436,942 is: 638,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,969 : 436,942 = 436,942 : x
  2. Step 2: Convert to fraction form
    298,969/436,942 = 436,942/x
  3. Step 3: Cross multiply
    298,969x = 436,942 × 436,942
  4. Step 4: Simplify right side
    298,969x = 190,918,311,364
  5. Step 5: Solve for x
    x = 190,918,311,364/298,969
  6. Step 6: Final answer
    x = 638,588.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.