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Finding the Third Proportional to 374,296 and 560,958

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Solution

The third proportional to 374,296 and 560,958 is: 840,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,296 : 560,958 = 560,958 : x
  2. Step 2: Convert to fraction form
    374,296/560,958 = 560,958/x
  3. Step 3: Cross multiply
    374,296x = 560,958 × 560,958
  4. Step 4: Simplify right side
    374,296x = 314,673,877,764
  5. Step 5: Solve for x
    x = 314,673,877,764/374,296
  6. Step 6: Final answer
    x = 840,708.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.