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Finding the Third Proportional to 456,657.75 and 733,771.50

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Solution

The third proportional to 456,657.75 and 733,771.50 is: 1,179,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,657.75 : 733,771.50 = 733,771.50 : x
  2. Step 2: Convert to fraction form
    456,657.75/733,771.50 = 733,771.50/x
  3. Step 3: Cross multiply
    456,657.75x = 733,771.50 × 733,771.50
  4. Step 4: Simplify right side
    456,657.75x = 538,420,614,212.25
  5. Step 5: Solve for x
    x = 538,420,614,212.25/456,657.75
  6. Step 6: Final answer
    x = 1,179,046.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.