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Finding the Third Proportional to 255,564 and 400,926

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Solution

The third proportional to 255,564 and 400,926 is: 628,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,564 : 400,926 = 400,926 : x
  2. Step 2: Convert to fraction form
    255,564/400,926 = 400,926/x
  3. Step 3: Cross multiply
    255,564x = 400,926 × 400,926
  4. Step 4: Simplify right side
    255,564x = 160,741,657,476
  5. Step 5: Solve for x
    x = 160,741,657,476/255,564
  6. Step 6: Final answer
    x = 628,968.31

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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.