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Finding the Third Proportional to 263,451 and 621,205.50

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Solution

The third proportional to 263,451 and 621,205.50 is: 1,464,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,451 : 621,205.50 = 621,205.50 : x
  2. Step 2: Convert to fraction form
    263,451/621,205.50 = 621,205.50/x
  3. Step 3: Cross multiply
    263,451x = 621,205.50 × 621,205.50
  4. Step 4: Simplify right side
    263,451x = 385,896,273,230.25
  5. Step 5: Solve for x
    x = 385,896,273,230.25/263,451
  6. Step 6: Final answer
    x = 1,464,774.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.