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Finding the Third Proportional to 337,038 and 733,584

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Solution

The third proportional to 337,038 and 733,584 is: 1,596,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,038 : 733,584 = 733,584 : x
  2. Step 2: Convert to fraction form
    337,038/733,584 = 733,584/x
  3. Step 3: Cross multiply
    337,038x = 733,584 × 733,584
  4. Step 4: Simplify right side
    337,038x = 538,145,485,056
  5. Step 5: Solve for x
    x = 538,145,485,056/337,038
  6. Step 6: Final answer
    x = 1,596,690.83

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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.