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Finding the Third Proportional to 366,744 and 561,014

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Solution

The third proportional to 366,744 and 561,014 is: 858,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,744 : 561,014 = 561,014 : x
  2. Step 2: Convert to fraction form
    366,744/561,014 = 561,014/x
  3. Step 3: Cross multiply
    366,744x = 561,014 × 561,014
  4. Step 4: Simplify right side
    366,744x = 314,736,708,196
  5. Step 5: Solve for x
    x = 314,736,708,196/366,744
  6. Step 6: Final answer
    x = 858,191.84

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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.