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Finding the Third Proportional to 337,830 and 475,155

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Solution

The third proportional to 337,830 and 475,155 is: 668,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,830 : 475,155 = 475,155 : x
  2. Step 2: Convert to fraction form
    337,830/475,155 = 475,155/x
  3. Step 3: Cross multiply
    337,830x = 475,155 × 475,155
  4. Step 4: Simplify right side
    337,830x = 225,772,274,025
  5. Step 5: Solve for x
    x = 225,772,274,025/337,830
  6. Step 6: Final answer
    x = 668,301.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.