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Finding the Third Proportional to 311,043 and 671,706

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Solution

The third proportional to 311,043 and 671,706 is: 1,450,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,043 : 671,706 = 671,706 : x
  2. Step 2: Convert to fraction form
    311,043/671,706 = 671,706/x
  3. Step 3: Cross multiply
    311,043x = 671,706 × 671,706
  4. Step 4: Simplify right side
    311,043x = 451,188,950,436
  5. Step 5: Solve for x
    x = 451,188,950,436/311,043
  6. Step 6: Final answer
    x = 1,450,567.77

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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.