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Finding the Third Proportional to 240,075.56 and 515,735.44

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Solution

The third proportional to 240,075.56 and 515,735.44 is: 1,107,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,075.56 : 515,735.44 = 515,735.44 : x
  2. Step 2: Convert to fraction form
    240,075.56/515,735.44 = 515,735.44/x
  3. Step 3: Cross multiply
    240,075.56x = 515,735.44 × 515,735.44
  4. Step 4: Simplify right side
    240,075.56x = 265,983,041,493.32
  5. Step 5: Solve for x
    x = 265,983,041,493.32/240,075.56
  6. Step 6: Final answer
    x = 1,107,913.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.