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Finding the Third Proportional to 310,200 and 467,892

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Solution

The third proportional to 310,200 and 467,892 is: 705,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200 : 467,892 = 467,892 : x
  2. Step 2: Convert to fraction form
    310,200/467,892 = 467,892/x
  3. Step 3: Cross multiply
    310,200x = 467,892 × 467,892
  4. Step 4: Simplify right side
    310,200x = 218,922,923,664
  5. Step 5: Solve for x
    x = 218,922,923,664/310,200
  6. Step 6: Final answer
    x = 705,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.