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Finding the Third Proportional to 274,748.63 and 593,920.27

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Solution

The third proportional to 274,748.63 and 593,920.27 is: 1,283,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,748.63 : 593,920.27 = 593,920.27 : x
  2. Step 2: Convert to fraction form
    274,748.63/593,920.27 = 593,920.27/x
  3. Step 3: Cross multiply
    274,748.63x = 593,920.27 × 593,920.27
  4. Step 4: Simplify right side
    274,748.63x = 352,741,281,920.07
  5. Step 5: Solve for x
    x = 352,741,281,920.07/274,748.63
  6. Step 6: Final answer
    x = 1,283,869.14

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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.