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Finding the Third Proportional to 337,812 and 734,034

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Solution

The third proportional to 337,812 and 734,034 is: 1,594,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,812 : 734,034 = 734,034 : x
  2. Step 2: Convert to fraction form
    337,812/734,034 = 734,034/x
  3. Step 3: Cross multiply
    337,812x = 734,034 × 734,034
  4. Step 4: Simplify right side
    337,812x = 538,805,913,156
  5. Step 5: Solve for x
    x = 538,805,913,156/337,812
  6. Step 6: Final answer
    x = 1,594,987.49

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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.