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Finding the Third Proportional to 361,709.30 and 773,241.19

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Solution

The third proportional to 361,709.30 and 773,241.19 is: 1,652,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,709.30 : 773,241.19 = 773,241.19 : x
  2. Step 2: Convert to fraction form
    361,709.30/773,241.19 = 773,241.19/x
  3. Step 3: Cross multiply
    361,709.30x = 773,241.19 × 773,241.19
  4. Step 4: Simplify right side
    361,709.30x = 597,901,934,046.41
  5. Step 5: Solve for x
    x = 597,901,934,046.41/361,709.30
  6. Step 6: Final answer
    x = 1,652,990.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.