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Finding the Third Proportional to 311,942 and 465,830

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Solution

The third proportional to 311,942 and 465,830 is: 695,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,942 : 465,830 = 465,830 : x
  2. Step 2: Convert to fraction form
    311,942/465,830 = 465,830/x
  3. Step 3: Cross multiply
    311,942x = 465,830 × 465,830
  4. Step 4: Simplify right side
    311,942x = 216,997,588,900
  5. Step 5: Solve for x
    x = 216,997,588,900/311,942
  6. Step 6: Final answer
    x = 695,634.41

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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.