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Finding the Third Proportional to 339,178 and 736,628

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Solution

The third proportional to 339,178 and 736,628 is: 1,599,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,178 : 736,628 = 736,628 : x
  2. Step 2: Convert to fraction form
    339,178/736,628 = 736,628/x
  3. Step 3: Cross multiply
    339,178x = 736,628 × 736,628
  4. Step 4: Simplify right side
    339,178x = 542,620,810,384
  5. Step 5: Solve for x
    x = 542,620,810,384/339,178
  6. Step 6: Final answer
    x = 1,599,811.34

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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.