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Finding the Third Proportional to 302,844 and 637,077

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Solution

The third proportional to 302,844 and 637,077 is: 1,340,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844 : 637,077 = 637,077 : x
  2. Step 2: Convert to fraction form
    302,844/637,077 = 637,077/x
  3. Step 3: Cross multiply
    302,844x = 637,077 × 637,077
  4. Step 4: Simplify right side
    302,844x = 405,867,103,929
  5. Step 5: Solve for x
    x = 405,867,103,929/302,844
  6. Step 6: Final answer
    x = 1,340,185.39

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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.