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Finding the Third Proportional to 337,606 and 522,582

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Solution

The third proportional to 337,606 and 522,582 is: 808,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,606 : 522,582 = 522,582 : x
  2. Step 2: Convert to fraction form
    337,606/522,582 = 522,582/x
  3. Step 3: Cross multiply
    337,606x = 522,582 × 522,582
  4. Step 4: Simplify right side
    337,606x = 273,091,946,724
  5. Step 5: Solve for x
    x = 273,091,946,724/337,606
  6. Step 6: Final answer
    x = 808,907.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.