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Finding the Third Proportional to 265,032 and 410,832

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Solution

The third proportional to 265,032 and 410,832 is: 636,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,032 : 410,832 = 410,832 : x
  2. Step 2: Convert to fraction form
    265,032/410,832 = 410,832/x
  3. Step 3: Cross multiply
    265,032x = 410,832 × 410,832
  4. Step 4: Simplify right side
    265,032x = 168,782,932,224
  5. Step 5: Solve for x
    x = 168,782,932,224/265,032
  6. Step 6: Final answer
    x = 636,839.82

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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.