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Finding the Third Proportional to 363,573 and 781,119

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Solution

The third proportional to 363,573 and 781,119 is: 1,678,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,573 : 781,119 = 781,119 : x
  2. Step 2: Convert to fraction form
    363,573/781,119 = 781,119/x
  3. Step 3: Cross multiply
    363,573x = 781,119 × 781,119
  4. Step 4: Simplify right side
    363,573x = 610,146,892,161
  5. Step 5: Solve for x
    x = 610,146,892,161/363,573
  6. Step 6: Final answer
    x = 1,678,196.38

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Why These Related Problems?

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