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Finding the Third Proportional to 407,168 and 535,425

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Solution

The third proportional to 407,168 and 535,425 is: 704,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,168 : 535,425 = 535,425 : x
  2. Step 2: Convert to fraction form
    407,168/535,425 = 535,425/x
  3. Step 3: Cross multiply
    407,168x = 535,425 × 535,425
  4. Step 4: Simplify right side
    407,168x = 286,679,930,625
  5. Step 5: Solve for x
    x = 286,679,930,625/407,168
  6. Step 6: Final answer
    x = 704,082.67

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.