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Finding the Third Proportional to 251,532 and 380,538

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Solution

The third proportional to 251,532 and 380,538 is: 575,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,532 : 380,538 = 380,538 : x
  2. Step 2: Convert to fraction form
    251,532/380,538 = 380,538/x
  3. Step 3: Cross multiply
    251,532x = 380,538 × 380,538
  4. Step 4: Simplify right side
    251,532x = 144,809,169,444
  5. Step 5: Solve for x
    x = 144,809,169,444/251,532
  6. Step 6: Final answer
    x = 575,708.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.