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Finding the Third Proportional to 228,539 and 528,993

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Solution

The third proportional to 228,539 and 528,993 is: 1,224,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,539 : 528,993 = 528,993 : x
  2. Step 2: Convert to fraction form
    228,539/528,993 = 528,993/x
  3. Step 3: Cross multiply
    228,539x = 528,993 × 528,993
  4. Step 4: Simplify right side
    228,539x = 279,833,594,049
  5. Step 5: Solve for x
    x = 279,833,594,049/228,539
  6. Step 6: Final answer
    x = 1,224,445.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.