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Finding the Third Proportional to 311,088 and 682,437

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Solution

The third proportional to 311,088 and 682,437 is: 1,497,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,088 : 682,437 = 682,437 : x
  2. Step 2: Convert to fraction form
    311,088/682,437 = 682,437/x
  3. Step 3: Cross multiply
    311,088x = 682,437 × 682,437
  4. Step 4: Simplify right side
    311,088x = 465,720,258,969
  5. Step 5: Solve for x
    x = 465,720,258,969/311,088
  6. Step 6: Final answer
    x = 1,497,069.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.