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Finding the Third Proportional to 302,244 and 635,511

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Solution

The third proportional to 302,244 and 635,511 is: 1,336,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,244 : 635,511 = 635,511 : x
  2. Step 2: Convert to fraction form
    302,244/635,511 = 635,511/x
  3. Step 3: Cross multiply
    302,244x = 635,511 × 635,511
  4. Step 4: Simplify right side
    302,244x = 403,874,231,121
  5. Step 5: Solve for x
    x = 403,874,231,121/302,244
  6. Step 6: Final answer
    x = 1,336,252.27

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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.