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Finding the Third Proportional to 270,121.50 and 578,434.50

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Solution

The third proportional to 270,121.50 and 578,434.50 is: 1,238,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,121.50 : 578,434.50 = 578,434.50 : x
  2. Step 2: Convert to fraction form
    270,121.50/578,434.50 = 578,434.50/x
  3. Step 3: Cross multiply
    270,121.50x = 578,434.50 × 578,434.50
  4. Step 4: Simplify right side
    270,121.50x = 334,586,470,790.25
  5. Step 5: Solve for x
    x = 334,586,470,790.25/270,121.50
  6. Step 6: Final answer
    x = 1,238,651.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.