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Finding the Third Proportional to 435,916 and 666,544

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Solution

The third proportional to 435,916 and 666,544 is: 1,019,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,916 : 666,544 = 666,544 : x
  2. Step 2: Convert to fraction form
    435,916/666,544 = 666,544/x
  3. Step 3: Cross multiply
    435,916x = 666,544 × 666,544
  4. Step 4: Simplify right side
    435,916x = 444,280,903,936
  5. Step 5: Solve for x
    x = 444,280,903,936/435,916
  6. Step 6: Final answer
    x = 1,019,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.