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Finding the Third Proportional to 340,172 and 744,793

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Solution

The third proportional to 340,172 and 744,793 is: 1,630,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,172 : 744,793 = 744,793 : x
  2. Step 2: Convert to fraction form
    340,172/744,793 = 744,793/x
  3. Step 3: Cross multiply
    340,172x = 744,793 × 744,793
  4. Step 4: Simplify right side
    340,172x = 554,716,612,849
  5. Step 5: Solve for x
    x = 554,716,612,849/340,172
  6. Step 6: Final answer
    x = 1,630,694.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.