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Finding the Third Proportional to 302,220 and 635,467

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Solution

The third proportional to 302,220 and 635,467 is: 1,336,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,220 : 635,467 = 635,467 : x
  2. Step 2: Convert to fraction form
    302,220/635,467 = 635,467/x
  3. Step 3: Cross multiply
    302,220x = 635,467 × 635,467
  4. Step 4: Simplify right side
    302,220x = 403,818,308,089
  5. Step 5: Solve for x
    x = 403,818,308,089/302,220
  6. Step 6: Final answer
    x = 1,336,173.34

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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.