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Finding the Third Proportional to 337,814 and 734,038

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Solution

The third proportional to 337,814 and 734,038 is: 1,594,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,814 : 734,038 = 734,038 : x
  2. Step 2: Convert to fraction form
    337,814/734,038 = 734,038/x
  3. Step 3: Cross multiply
    337,814x = 734,038 × 734,038
  4. Step 4: Simplify right side
    337,814x = 538,811,785,444
  5. Step 5: Solve for x
    x = 538,811,785,444/337,814
  6. Step 6: Final answer
    x = 1,594,995.43

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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.