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Finding the Third Proportional to 274,788.63 and 596,576.88

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Solution

The third proportional to 274,788.63 and 596,576.88 is: 1,295,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,788.63 : 596,576.88 = 596,576.88 : x
  2. Step 2: Convert to fraction form
    274,788.63/596,576.88 = 596,576.88/x
  3. Step 3: Cross multiply
    274,788.63x = 596,576.88 × 596,576.88
  4. Step 4: Simplify right side
    274,788.63x = 355,903,967,784.77
  5. Step 5: Solve for x
    x = 355,903,967,784.77/274,788.63
  6. Step 6: Final answer
    x = 1,295,191.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.