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Finding the Third Proportional to 337,810 and 734,030

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Solution

The third proportional to 337,810 and 734,030 is: 1,594,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,810 : 734,030 = 734,030 : x
  2. Step 2: Convert to fraction form
    337,810/734,030 = 734,030/x
  3. Step 3: Cross multiply
    337,810x = 734,030 × 734,030
  4. Step 4: Simplify right side
    337,810x = 538,800,040,900
  5. Step 5: Solve for x
    x = 538,800,040,900/337,810
  6. Step 6: Final answer
    x = 1,594,979.55

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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.