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Finding the Third Proportional to 339,156 and 736,632

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Solution

The third proportional to 339,156 and 736,632 is: 1,599,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,156 : 736,632 = 736,632 : x
  2. Step 2: Convert to fraction form
    339,156/736,632 = 736,632/x
  3. Step 3: Cross multiply
    339,156x = 736,632 × 736,632
  4. Step 4: Simplify right side
    339,156x = 542,626,703,424
  5. Step 5: Solve for x
    x = 542,626,703,424/339,156
  6. Step 6: Final answer
    x = 1,599,932.49

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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.