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Finding the Third Proportional to 310,869 and 467,457

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Solution

The third proportional to 310,869 and 467,457 is: 702,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 467,457 = 467,457 : x
  2. Step 2: Convert to fraction form
    310,869/467,457 = 467,457/x
  3. Step 3: Cross multiply
    310,869x = 467,457 × 467,457
  4. Step 4: Simplify right side
    310,869x = 218,516,046,849
  5. Step 5: Solve for x
    x = 218,516,046,849/310,869
  6. Step 6: Final answer
    x = 702,920.03

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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.