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Finding the Third Proportional to 228,680 and 501,664

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Solution

The third proportional to 228,680 and 501,664 is: 1,100,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,680 : 501,664 = 501,664 : x
  2. Step 2: Convert to fraction form
    228,680/501,664 = 501,664/x
  3. Step 3: Cross multiply
    228,680x = 501,664 × 501,664
  4. Step 4: Simplify right side
    228,680x = 251,666,768,896
  5. Step 5: Solve for x
    x = 251,666,768,896/228,680
  6. Step 6: Final answer
    x = 1,100,519.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.