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Finding the Third Proportional to 433,168 and 649,752

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Solution

The third proportional to 433,168 and 649,752 is: 974,628

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,168 : 649,752 = 649,752 : x
  2. Step 2: Convert to fraction form
    433,168/649,752 = 649,752/x
  3. Step 3: Cross multiply
    433,168x = 649,752 × 649,752
  4. Step 4: Simplify right side
    433,168x = 422,177,661,504
  5. Step 5: Solve for x
    x = 422,177,661,504/433,168
  6. Step 6: Final answer
    x = 974,628

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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.