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Finding the Third Proportional to 337,189 and 522,068

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Solution

The third proportional to 337,189 and 522,068 is: 808,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,189 : 522,068 = 522,068 : x
  2. Step 2: Convert to fraction form
    337,189/522,068 = 522,068/x
  3. Step 3: Cross multiply
    337,189x = 522,068 × 522,068
  4. Step 4: Simplify right side
    337,189x = 272,554,996,624
  5. Step 5: Solve for x
    x = 272,554,996,624/337,189
  6. Step 6: Final answer
    x = 808,315.21

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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.