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Finding the Third Proportional to 311,842 and 673,574

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Solution

The third proportional to 311,842 and 673,574 is: 1,454,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,842 : 673,574 = 673,574 : x
  2. Step 2: Convert to fraction form
    311,842/673,574 = 673,574/x
  3. Step 3: Cross multiply
    311,842x = 673,574 × 673,574
  4. Step 4: Simplify right side
    311,842x = 453,701,933,476
  5. Step 5: Solve for x
    x = 453,701,933,476/311,842
  6. Step 6: Final answer
    x = 1,454,909.64

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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.