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Finding the Third Proportional to 361,845 and 773,487.56

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Solution

The third proportional to 361,845 and 773,487.56 is: 1,653,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,845 : 773,487.56 = 773,487.56 : x
  2. Step 2: Convert to fraction form
    361,845/773,487.56 = 773,487.56/x
  3. Step 3: Cross multiply
    361,845x = 773,487.56 × 773,487.56
  4. Step 4: Simplify right side
    361,845x = 598,283,009,342.19
  5. Step 5: Solve for x
    x = 598,283,009,342.19/361,845
  6. Step 6: Final answer
    x = 1,653,423.45

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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.