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Finding the Third Proportional to 273,658.50 and 597,754.69

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Solution

The third proportional to 273,658.50 and 597,754.69 is: 1,305,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,658.50 : 597,754.69 = 597,754.69 : x
  2. Step 2: Convert to fraction form
    273,658.50/597,754.69 = 597,754.69/x
  3. Step 3: Cross multiply
    273,658.50x = 597,754.69 × 597,754.69
  4. Step 4: Simplify right side
    273,658.50x = 357,310,666,428.22
  5. Step 5: Solve for x
    x = 357,310,666,428.22/273,658.50
  6. Step 6: Final answer
    x = 1,305,680.86

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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.