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Finding the Third Proportional to 340,634 and 739,223

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Solution

The third proportional to 340,634 and 739,223 is: 1,604,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,634 : 739,223 = 739,223 : x
  2. Step 2: Convert to fraction form
    340,634/739,223 = 739,223/x
  3. Step 3: Cross multiply
    340,634x = 739,223 × 739,223
  4. Step 4: Simplify right side
    340,634x = 546,450,643,729
  5. Step 5: Solve for x
    x = 546,450,643,729/340,634
  6. Step 6: Final answer
    x = 1,604,216.38

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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.