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Finding the Third Proportional to 274,576.50 and 593,564.63

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Solution

The third proportional to 274,576.50 and 593,564.63 is: 1,283,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,576.50 : 593,564.63 = 593,564.63 : x
  2. Step 2: Convert to fraction form
    274,576.50/593,564.63 = 593,564.63/x
  3. Step 3: Cross multiply
    274,576.50x = 593,564.63 × 593,564.63
  4. Step 4: Simplify right side
    274,576.50x = 352,318,964,051.39
  5. Step 5: Solve for x
    x = 352,318,964,051.39/274,576.50
  6. Step 6: Final answer
    x = 1,283,135.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.