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Finding the Third Proportional to 337,155 and 474,270

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Solution

The third proportional to 337,155 and 474,270 is: 667,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,155 : 474,270 = 474,270 : x
  2. Step 2: Convert to fraction form
    337,155/474,270 = 474,270/x
  3. Step 3: Cross multiply
    337,155x = 474,270 × 474,270
  4. Step 4: Simplify right side
    337,155x = 224,932,032,900
  5. Step 5: Solve for x
    x = 224,932,032,900/337,155
  6. Step 6: Final answer
    x = 667,147.26

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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.