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Finding the Third Proportional to 228,596 and 351,582

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Solution

The third proportional to 228,596 and 351,582 is: 540,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,596 : 351,582 = 351,582 : x
  2. Step 2: Convert to fraction form
    228,596/351,582 = 351,582/x
  3. Step 3: Cross multiply
    228,596x = 351,582 × 351,582
  4. Step 4: Simplify right side
    228,596x = 123,609,902,724
  5. Step 5: Solve for x
    x = 123,609,902,724/228,596
  6. Step 6: Final answer
    x = 540,735.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.