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Finding the Third Proportional to 339,874.50 and 740,415

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Solution

The third proportional to 339,874.50 and 740,415 is: 1,612,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,874.50 : 740,415 = 740,415 : x
  2. Step 2: Convert to fraction form
    339,874.50/740,415 = 740,415/x
  3. Step 3: Cross multiply
    339,874.50x = 740,415 × 740,415
  4. Step 4: Simplify right side
    339,874.50x = 548,214,372,225
  5. Step 5: Solve for x
    x = 548,214,372,225/339,874.50
  6. Step 6: Final answer
    x = 1,612,990.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.