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Finding the Third Proportional to 302,964 and 637,266

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Solution

The third proportional to 302,964 and 637,266 is: 1,340,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,964 : 637,266 = 637,266 : x
  2. Step 2: Convert to fraction form
    302,964/637,266 = 637,266/x
  3. Step 3: Cross multiply
    302,964x = 637,266 × 637,266
  4. Step 4: Simplify right side
    302,964x = 406,107,954,756
  5. Step 5: Solve for x
    x = 406,107,954,756/302,964
  6. Step 6: Final answer
    x = 1,340,449.54

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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.