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Finding the Third Proportional to 433,923 and 649,313

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Solution

The third proportional to 433,923 and 649,313 is: 971,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,923 : 649,313 = 649,313 : x
  2. Step 2: Convert to fraction form
    433,923/649,313 = 649,313/x
  3. Step 3: Cross multiply
    433,923x = 649,313 × 649,313
  4. Step 4: Simplify right side
    433,923x = 421,607,371,969
  5. Step 5: Solve for x
    x = 421,607,371,969/433,923
  6. Step 6: Final answer
    x = 971,617.94

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Why These Related Problems?

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