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Finding the Third Proportional to 328,352 and 696,241

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Solution

The third proportional to 328,352 and 696,241 is: 1,476,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,352 : 696,241 = 696,241 : x
  2. Step 2: Convert to fraction form
    328,352/696,241 = 696,241/x
  3. Step 3: Cross multiply
    328,352x = 696,241 × 696,241
  4. Step 4: Simplify right side
    328,352x = 484,751,530,081
  5. Step 5: Solve for x
    x = 484,751,530,081/328,352
  6. Step 6: Final answer
    x = 1,476,316.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.