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Finding the Third Proportional to 339,152 and 736,624

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Solution

The third proportional to 339,152 and 736,624 is: 1,599,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,152 : 736,624 = 736,624 : x
  2. Step 2: Convert to fraction form
    339,152/736,624 = 736,624/x
  3. Step 3: Cross multiply
    339,152x = 736,624 × 736,624
  4. Step 4: Simplify right side
    339,152x = 542,614,917,376
  5. Step 5: Solve for x
    x = 542,614,917,376/339,152
  6. Step 6: Final answer
    x = 1,599,916.61

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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.