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Finding the Third Proportional to 302,869 and 637,114

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Solution

The third proportional to 302,869 and 637,114 is: 1,340,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,869 : 637,114 = 637,114 : x
  2. Step 2: Convert to fraction form
    302,869/637,114 = 637,114/x
  3. Step 3: Cross multiply
    302,869x = 637,114 × 637,114
  4. Step 4: Simplify right side
    302,869x = 405,914,248,996
  5. Step 5: Solve for x
    x = 405,914,248,996/302,869
  6. Step 6: Final answer
    x = 1,340,230.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.