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Finding the Third Proportional to 260,211.50 and 554,776.75

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Solution

The third proportional to 260,211.50 and 554,776.75 is: 1,182,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,211.50 : 554,776.75 = 554,776.75 : x
  2. Step 2: Convert to fraction form
    260,211.50/554,776.75 = 554,776.75/x
  3. Step 3: Cross multiply
    260,211.50x = 554,776.75 × 554,776.75
  4. Step 4: Simplify right side
    260,211.50x = 307,777,242,340.56
  5. Step 5: Solve for x
    x = 307,777,242,340.56/260,211.50
  6. Step 6: Final answer
    x = 1,182,796.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.