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Finding the Third Proportional to 228,405 and 363,727.50

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Solution

The third proportional to 228,405 and 363,727.50 is: 579,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,405 : 363,727.50 = 363,727.50 : x
  2. Step 2: Convert to fraction form
    228,405/363,727.50 = 363,727.50/x
  3. Step 3: Cross multiply
    228,405x = 363,727.50 × 363,727.50
  4. Step 4: Simplify right side
    228,405x = 132,297,694,256.25
  5. Step 5: Solve for x
    x = 132,297,694,256.25/228,405
  6. Step 6: Final answer
    x = 579,224.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.