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Finding the Third Proportional to 228,304.50 and 363,597.75

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Solution

The third proportional to 228,304.50 and 363,597.75 is: 579,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,304.50 : 363,597.75 = 363,597.75 : x
  2. Step 2: Convert to fraction form
    228,304.50/363,597.75 = 363,597.75/x
  3. Step 3: Cross multiply
    228,304.50x = 363,597.75 × 363,597.75
  4. Step 4: Simplify right side
    228,304.50x = 132,203,323,805.06
  5. Step 5: Solve for x
    x = 132,203,323,805.06/228,304.50
  6. Step 6: Final answer
    x = 579,065.78

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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.