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Finding the Third Proportional to 257,284.50 and 397,590.75

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Solution

The third proportional to 257,284.50 and 397,590.75 is: 614,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,284.50 : 397,590.75 = 397,590.75 : x
  2. Step 2: Convert to fraction form
    257,284.50/397,590.75 = 397,590.75/x
  3. Step 3: Cross multiply
    257,284.50x = 397,590.75 × 397,590.75
  4. Step 4: Simplify right side
    257,284.50x = 158,078,404,485.56
  5. Step 5: Solve for x
    x = 158,078,404,485.56/257,284.50
  6. Step 6: Final answer
    x = 614,410.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.