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Finding the Third Proportional to 337,830 and 734,072

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Solution

The third proportional to 337,830 and 734,072 is: 1,595,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,830 : 734,072 = 734,072 : x
  2. Step 2: Convert to fraction form
    337,830/734,072 = 734,072/x
  3. Step 3: Cross multiply
    337,830x = 734,072 × 734,072
  4. Step 4: Simplify right side
    337,830x = 538,861,701,184
  5. Step 5: Solve for x
    x = 538,861,701,184/337,830
  6. Step 6: Final answer
    x = 1,595,067.64

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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.