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Finding the Third Proportional to 438,538 and 958,238

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Solution

The third proportional to 438,538 and 958,238 is: 2,093,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,538 : 958,238 = 958,238 : x
  2. Step 2: Convert to fraction form
    438,538/958,238 = 958,238/x
  3. Step 3: Cross multiply
    438,538x = 958,238 × 958,238
  4. Step 4: Simplify right side
    438,538x = 918,220,064,644
  5. Step 5: Solve for x
    x = 918,220,064,644/438,538
  6. Step 6: Final answer
    x = 2,093,820.98

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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.