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Finding the Third Proportional to 262,804.50 and 575,181

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Solution

The third proportional to 262,804.50 and 575,181 is: 1,258,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,804.50 : 575,181 = 575,181 : x
  2. Step 2: Convert to fraction form
    262,804.50/575,181 = 575,181/x
  3. Step 3: Cross multiply
    262,804.50x = 575,181 × 575,181
  4. Step 4: Simplify right side
    262,804.50x = 330,833,182,761
  5. Step 5: Solve for x
    x = 330,833,182,761/262,804.50
  6. Step 6: Final answer
    x = 1,258,856.61

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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.