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Finding the Third Proportional to 337,599 and 733,158

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Solution

The third proportional to 337,599 and 733,158 is: 1,592,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,599 : 733,158 = 733,158 : x
  2. Step 2: Convert to fraction form
    337,599/733,158 = 733,158/x
  3. Step 3: Cross multiply
    337,599x = 733,158 × 733,158
  4. Step 4: Simplify right side
    337,599x = 537,520,652,964
  5. Step 5: Solve for x
    x = 537,520,652,964/337,599
  6. Step 6: Final answer
    x = 1,592,186.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.