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Finding the Third Proportional to 337,018 and 733,085

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Solution

The third proportional to 337,018 and 733,085 is: 1,594,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,018 : 733,085 = 733,085 : x
  2. Step 2: Convert to fraction form
    337,018/733,085 = 733,085/x
  3. Step 3: Cross multiply
    337,018x = 733,085 × 733,085
  4. Step 4: Simplify right side
    337,018x = 537,413,617,225
  5. Step 5: Solve for x
    x = 537,413,617,225/337,018
  6. Step 6: Final answer
    x = 1,594,613.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.