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Finding the Third Proportional to 311,841 and 673,572

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Solution

The third proportional to 311,841 and 673,572 is: 1,454,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,841 : 673,572 = 673,572 : x
  2. Step 2: Convert to fraction form
    311,841/673,572 = 673,572/x
  3. Step 3: Cross multiply
    311,841x = 673,572 × 673,572
  4. Step 4: Simplify right side
    311,841x = 453,699,239,184
  5. Step 5: Solve for x
    x = 453,699,239,184/311,841
  6. Step 6: Final answer
    x = 1,454,905.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.