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Finding the Third Proportional to 228,729 and 501,765

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Solution

The third proportional to 228,729 and 501,765 is: 1,100,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,729 : 501,765 = 501,765 : x
  2. Step 2: Convert to fraction form
    228,729/501,765 = 501,765/x
  3. Step 3: Cross multiply
    228,729x = 501,765 × 501,765
  4. Step 4: Simplify right side
    228,729x = 251,768,115,225
  5. Step 5: Solve for x
    x = 251,768,115,225/228,729
  6. Step 6: Final answer
    x = 1,100,726.69

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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.