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Finding the Third Proportional to 254,400.75 and 529,733.25

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Solution

The third proportional to 254,400.75 and 529,733.25 is: 1,103,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,400.75 : 529,733.25 = 529,733.25 : x
  2. Step 2: Convert to fraction form
    254,400.75/529,733.25 = 529,733.25/x
  3. Step 3: Cross multiply
    254,400.75x = 529,733.25 × 529,733.25
  4. Step 4: Simplify right side
    254,400.75x = 280,617,316,155.56
  5. Step 5: Solve for x
    x = 280,617,316,155.56/254,400.75
  6. Step 6: Final answer
    x = 1,103,052.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.