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Finding the Third Proportional to 263,001 and 575,208.75

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Solution

The third proportional to 263,001 and 575,208.75 is: 1,258,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,001 : 575,208.75 = 575,208.75 : x
  2. Step 2: Convert to fraction form
    263,001/575,208.75 = 575,208.75/x
  3. Step 3: Cross multiply
    263,001x = 575,208.75 × 575,208.75
  4. Step 4: Simplify right side
    263,001x = 330,865,106,076.56
  5. Step 5: Solve for x
    x = 330,865,106,076.56/263,001
  6. Step 6: Final answer
    x = 1,258,037.45

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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.