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Finding the Third Proportional to 311,940 and 465,828

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Solution

The third proportional to 311,940 and 465,828 is: 695,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,940 : 465,828 = 465,828 : x
  2. Step 2: Convert to fraction form
    311,940/465,828 = 465,828/x
  3. Step 3: Cross multiply
    311,940x = 465,828 × 465,828
  4. Step 4: Simplify right side
    311,940x = 216,995,725,584
  5. Step 5: Solve for x
    x = 216,995,725,584/311,940
  6. Step 6: Final answer
    x = 695,632.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.