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Finding the Third Proportional to 337,020 and 733,089

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Solution

The third proportional to 337,020 and 733,089 is: 1,594,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,020 : 733,089 = 733,089 : x
  2. Step 2: Convert to fraction form
    337,020/733,089 = 733,089/x
  3. Step 3: Cross multiply
    337,020x = 733,089 × 733,089
  4. Step 4: Simplify right side
    337,020x = 537,419,481,921
  5. Step 5: Solve for x
    x = 537,419,481,921/337,020
  6. Step 6: Final answer
    x = 1,594,621.93

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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.