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Finding the Third Proportional to 310,869 and 467,169

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Solution

The third proportional to 310,869 and 467,169 is: 702,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 467,169 = 467,169 : x
  2. Step 2: Convert to fraction form
    310,869/467,169 = 467,169/x
  3. Step 3: Cross multiply
    310,869x = 467,169 × 467,169
  4. Step 4: Simplify right side
    310,869x = 218,246,874,561
  5. Step 5: Solve for x
    x = 218,246,874,561/310,869
  6. Step 6: Final answer
    x = 702,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.