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Finding the Third Proportional to 345,075.75 and 752,892.75

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Solution

The third proportional to 345,075.75 and 752,892.75 is: 1,642,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,075.75 : 752,892.75 = 752,892.75 : x
  2. Step 2: Convert to fraction form
    345,075.75/752,892.75 = 752,892.75/x
  3. Step 3: Cross multiply
    345,075.75x = 752,892.75 × 752,892.75
  4. Step 4: Simplify right side
    345,075.75x = 566,847,493,002.56
  5. Step 5: Solve for x
    x = 566,847,493,002.56/345,075.75
  6. Step 6: Final answer
    x = 1,642,675.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.