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Finding the Third Proportional to 412,988.63 and 848,211.75

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Solution

The third proportional to 412,988.63 and 848,211.75 is: 1,742,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,988.63 : 848,211.75 = 848,211.75 : x
  2. Step 2: Convert to fraction form
    412,988.63/848,211.75 = 848,211.75/x
  3. Step 3: Cross multiply
    412,988.63x = 848,211.75 × 848,211.75
  4. Step 4: Simplify right side
    412,988.63x = 719,463,172,838.06
  5. Step 5: Solve for x
    x = 719,463,172,838.06/412,988.63
  6. Step 6: Final answer
    x = 1,742,089.56

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.