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Finding the Third Proportional to 363,576 and 781,125

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Solution

The third proportional to 363,576 and 781,125 is: 1,678,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,576 : 781,125 = 781,125 : x
  2. Step 2: Convert to fraction form
    363,576/781,125 = 781,125/x
  3. Step 3: Cross multiply
    363,576x = 781,125 × 781,125
  4. Step 4: Simplify right side
    363,576x = 610,156,265,625
  5. Step 5: Solve for x
    x = 610,156,265,625/363,576
  6. Step 6: Final answer
    x = 1,678,208.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.