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Finding the Third Proportional to 473,866.50 and 981,267.75

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Solution

The third proportional to 473,866.50 and 981,267.75 is: 2,031,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,866.50 : 981,267.75 = 981,267.75 : x
  2. Step 2: Convert to fraction form
    473,866.50/981,267.75 = 981,267.75/x
  3. Step 3: Cross multiply
    473,866.50x = 981,267.75 × 981,267.75
  4. Step 4: Simplify right side
    473,866.50x = 962,886,397,190.06
  5. Step 5: Solve for x
    x = 962,886,397,190.06/473,866.50
  6. Step 6: Final answer
    x = 2,031,978.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.