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Finding the Third Proportional to 310,905 and 680,997

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Solution

The third proportional to 310,905 and 680,997 is: 1,491,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905 : 680,997 = 680,997 : x
  2. Step 2: Convert to fraction form
    310,905/680,997 = 680,997/x
  3. Step 3: Cross multiply
    310,905x = 680,997 × 680,997
  4. Step 4: Simplify right side
    310,905x = 463,756,914,009
  5. Step 5: Solve for x
    x = 463,756,914,009/310,905
  6. Step 6: Final answer
    x = 1,491,635.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.