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Finding the Third Proportional to 255,563 and 400,925

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Solution

The third proportional to 255,563 and 400,925 is: 628,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,563 : 400,925 = 400,925 : x
  2. Step 2: Convert to fraction form
    255,563/400,925 = 400,925/x
  3. Step 3: Cross multiply
    255,563x = 400,925 × 400,925
  4. Step 4: Simplify right side
    255,563x = 160,740,855,625
  5. Step 5: Solve for x
    x = 160,740,855,625/255,563
  6. Step 6: Final answer
    x = 628,967.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.