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Finding the Third Proportional to 254,441.25 and 535,029.75

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Solution

The third proportional to 254,441.25 and 535,029.75 is: 1,125,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,441.25 : 535,029.75 = 535,029.75 : x
  2. Step 2: Convert to fraction form
    254,441.25/535,029.75 = 535,029.75/x
  3. Step 3: Cross multiply
    254,441.25x = 535,029.75 × 535,029.75
  4. Step 4: Simplify right side
    254,441.25x = 286,256,833,385.06
  5. Step 5: Solve for x
    x = 286,256,833,385.06/254,441.25
  6. Step 6: Final answer
    x = 1,125,040.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.