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Finding the Third Proportional to 226,502 and 501,280

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Solution

The third proportional to 226,502 and 501,280 is: 1,109,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,502 : 501,280 = 501,280 : x
  2. Step 2: Convert to fraction form
    226,502/501,280 = 501,280/x
  3. Step 3: Cross multiply
    226,502x = 501,280 × 501,280
  4. Step 4: Simplify right side
    226,502x = 251,281,638,400
  5. Step 5: Solve for x
    x = 251,281,638,400/226,502
  6. Step 6: Final answer
    x = 1,109,401.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.