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Finding the Third Proportional to 335,224 and 727,592

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Solution

The third proportional to 335,224 and 727,592 is: 1,579,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,224 : 727,592 = 727,592 : x
  2. Step 2: Convert to fraction form
    335,224/727,592 = 727,592/x
  3. Step 3: Cross multiply
    335,224x = 727,592 × 727,592
  4. Step 4: Simplify right side
    335,224x = 529,390,118,464
  5. Step 5: Solve for x
    x = 529,390,118,464/335,224
  6. Step 6: Final answer
    x = 1,579,213.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.