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Finding the Third Proportional to 531,744 and 886,224

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Solution

The third proportional to 531,744 and 886,224 is: 1,477,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,744 : 886,224 = 886,224 : x
  2. Step 2: Convert to fraction form
    531,744/886,224 = 886,224/x
  3. Step 3: Cross multiply
    531,744x = 886,224 × 886,224
  4. Step 4: Simplify right side
    531,744x = 785,392,978,176
  5. Step 5: Solve for x
    x = 785,392,978,176/531,744
  6. Step 6: Final answer
    x = 1,477,013.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.