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Finding the Third Proportional to 296,358.75 and 649,163.25

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Solution

The third proportional to 296,358.75 and 649,163.25 is: 1,421,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,358.75 : 649,163.25 = 649,163.25 : x
  2. Step 2: Convert to fraction form
    296,358.75/649,163.25 = 649,163.25/x
  3. Step 3: Cross multiply
    296,358.75x = 649,163.25 × 649,163.25
  4. Step 4: Simplify right side
    296,358.75x = 421,412,925,150.56
  5. Step 5: Solve for x
    x = 421,412,925,150.56/296,358.75
  6. Step 6: Final answer
    x = 1,421,968.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.