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Finding the Third Proportional to 228,734 and 504,004

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Solution

The third proportional to 228,734 and 504,004 is: 1,110,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,734 : 504,004 = 504,004 : x
  2. Step 2: Convert to fraction form
    228,734/504,004 = 504,004/x
  3. Step 3: Cross multiply
    228,734x = 504,004 × 504,004
  4. Step 4: Simplify right side
    228,734x = 254,020,032,016
  5. Step 5: Solve for x
    x = 254,020,032,016/228,734
  6. Step 6: Final answer
    x = 1,110,547.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.