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Finding the Third Proportional to 263,015.44 and 575,248.50

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Solution

The third proportional to 263,015.44 and 575,248.50 is: 1,258,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,015.44 : 575,248.50 = 575,248.50 : x
  2. Step 2: Convert to fraction form
    263,015.44/575,248.50 = 575,248.50/x
  3. Step 3: Cross multiply
    263,015.44x = 575,248.50 × 575,248.50
  4. Step 4: Simplify right side
    263,015.44x = 330,910,836,752.25
  5. Step 5: Solve for x
    x = 330,910,836,752.25/263,015.44
  6. Step 6: Final answer
    x = 1,258,142.26

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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.