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Finding the Third Proportional to 437,713.50 and 952,120.50

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Solution

The third proportional to 437,713.50 and 952,120.50 is: 2,071,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,713.50 : 952,120.50 = 952,120.50 : x
  2. Step 2: Convert to fraction form
    437,713.50/952,120.50 = 952,120.50/x
  3. Step 3: Cross multiply
    437,713.50x = 952,120.50 × 952,120.50
  4. Step 4: Simplify right side
    437,713.50x = 906,533,446,520.25
  5. Step 5: Solve for x
    x = 906,533,446,520.25/437,713.50
  6. Step 6: Final answer
    x = 2,071,065.77

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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.