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Finding the Third Proportional to 579,343.50 and 848,274.75

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Solution

The third proportional to 579,343.50 and 848,274.75 is: 1,242,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,343.50 : 848,274.75 = 848,274.75 : x
  2. Step 2: Convert to fraction form
    579,343.50/848,274.75 = 848,274.75/x
  3. Step 3: Cross multiply
    579,343.50x = 848,274.75 × 848,274.75
  4. Step 4: Simplify right side
    579,343.50x = 719,570,051,487.56
  5. Step 5: Solve for x
    x = 719,570,051,487.56/579,343.50
  6. Step 6: Final answer
    x = 1,242,043.88

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Why These Related Problems?

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