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Finding the Third Proportional to 355,995 and 475,544.25

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Solution

The third proportional to 355,995 and 475,544.25 is: 635,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,995 : 475,544.25 = 475,544.25 : x
  2. Step 2: Convert to fraction form
    355,995/475,544.25 = 475,544.25/x
  3. Step 3: Cross multiply
    355,995x = 475,544.25 × 475,544.25
  4. Step 4: Simplify right side
    355,995x = 226,142,333,708.06
  5. Step 5: Solve for x
    x = 226,142,333,708.06/355,995
  6. Step 6: Final answer
    x = 635,240.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.