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Finding the Third Proportional to 264,778.50 and 573,027

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Solution

The third proportional to 264,778.50 and 573,027 is: 1,240,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,778.50 : 573,027 = 573,027 : x
  2. Step 2: Convert to fraction form
    264,778.50/573,027 = 573,027/x
  3. Step 3: Cross multiply
    264,778.50x = 573,027 × 573,027
  4. Step 4: Simplify right side
    264,778.50x = 328,359,942,729
  5. Step 5: Solve for x
    x = 328,359,942,729/264,778.50
  6. Step 6: Final answer
    x = 1,240,130.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.