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Finding the Third Proportional to 272,453.63 and 593,951.06

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Solution

The third proportional to 272,453.63 and 593,951.06 is: 1,294,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,453.63 : 593,951.06 = 593,951.06 : x
  2. Step 2: Convert to fraction form
    272,453.63/593,951.06 = 593,951.06/x
  3. Step 3: Cross multiply
    272,453.63x = 593,951.06 × 593,951.06
  4. Step 4: Simplify right side
    272,453.63x = 352,777,864,644.88
  5. Step 5: Solve for x
    x = 352,777,864,644.88/272,453.63
  6. Step 6: Final answer
    x = 1,294,818.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.