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Finding the Third Proportional to 262,642.50 and 400,524.75

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Solution

The third proportional to 262,642.50 and 400,524.75 is: 610,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,642.50 : 400,524.75 = 400,524.75 : x
  2. Step 2: Convert to fraction form
    262,642.50/400,524.75 = 400,524.75/x
  3. Step 3: Cross multiply
    262,642.50x = 400,524.75 × 400,524.75
  4. Step 4: Simplify right side
    262,642.50x = 160,420,075,362.56
  5. Step 5: Solve for x
    x = 160,420,075,362.56/262,642.50
  6. Step 6: Final answer
    x = 610,792.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.