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Finding the Third Proportional to 228,532 and 350,574

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Solution

The third proportional to 228,532 and 350,574 is: 537,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,532 : 350,574 = 350,574 : x
  2. Step 2: Convert to fraction form
    228,532/350,574 = 350,574/x
  3. Step 3: Cross multiply
    228,532x = 350,574 × 350,574
  4. Step 4: Simplify right side
    228,532x = 122,902,129,476
  5. Step 5: Solve for x
    x = 122,902,129,476/228,532
  6. Step 6: Final answer
    x = 537,789.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.