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Finding the Third Proportional to 344,420 and 741,615

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Solution

The third proportional to 344,420 and 741,615 is: 1,596,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,420 : 741,615 = 741,615 : x
  2. Step 2: Convert to fraction form
    344,420/741,615 = 741,615/x
  3. Step 3: Cross multiply
    344,420x = 741,615 × 741,615
  4. Step 4: Simplify right side
    344,420x = 549,992,808,225
  5. Step 5: Solve for x
    x = 549,992,808,225/344,420
  6. Step 6: Final answer
    x = 1,596,866.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.