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Finding the Third Proportional to 438,536 and 958,234

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Solution

The third proportional to 438,536 and 958,234 is: 2,093,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,536 : 958,234 = 958,234 : x
  2. Step 2: Convert to fraction form
    438,536/958,234 = 958,234/x
  3. Step 3: Cross multiply
    438,536x = 958,234 × 958,234
  4. Step 4: Simplify right side
    438,536x = 918,212,398,756
  5. Step 5: Solve for x
    x = 918,212,398,756/438,536
  6. Step 6: Final answer
    x = 2,093,813.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.