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Finding the Third Proportional to 461,302 and 649,330

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Solution

The third proportional to 461,302 and 649,330 is: 913,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,302 : 649,330 = 649,330 : x
  2. Step 2: Convert to fraction form
    461,302/649,330 = 649,330/x
  3. Step 3: Cross multiply
    461,302x = 649,330 × 649,330
  4. Step 4: Simplify right side
    461,302x = 421,629,448,900
  5. Step 5: Solve for x
    x = 421,629,448,900/461,302
  6. Step 6: Final answer
    x = 913,998.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.