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Finding the Third Proportional to 311,126.06 and 469,551.94

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Solution

The third proportional to 311,126.06 and 469,551.94 is: 708,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,126.06 : 469,551.94 = 469,551.94 : x
  2. Step 2: Convert to fraction form
    311,126.06/469,551.94 = 469,551.94/x
  3. Step 3: Cross multiply
    311,126.06x = 469,551.94 × 469,551.94
  4. Step 4: Simplify right side
    311,126.06x = 220,479,022,010.00
  5. Step 5: Solve for x
    x = 220,479,022,010.00/311,126.06
  6. Step 6: Final answer
    x = 708,648.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.