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Finding the Third Proportional to 340,201 and 732,404

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Solution

The third proportional to 340,201 and 732,404 is: 1,576,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,201 : 732,404 = 732,404 : x
  2. Step 2: Convert to fraction form
    340,201/732,404 = 732,404/x
  3. Step 3: Cross multiply
    340,201x = 732,404 × 732,404
  4. Step 4: Simplify right side
    340,201x = 536,415,619,216
  5. Step 5: Solve for x
    x = 536,415,619,216/340,201
  6. Step 6: Final answer
    x = 1,576,760.85

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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.