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Finding the Third Proportional to 340,786 and 515,955

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Solution

The third proportional to 340,786 and 515,955 is: 781,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,786 : 515,955 = 515,955 : x
  2. Step 2: Convert to fraction form
    340,786/515,955 = 515,955/x
  3. Step 3: Cross multiply
    340,786x = 515,955 × 515,955
  4. Step 4: Simplify right side
    340,786x = 266,209,562,025
  5. Step 5: Solve for x
    x = 266,209,562,025/340,786
  6. Step 6: Final answer
    x = 781,163.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.