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Finding the Third Proportional to 653,838.75 and 981,416.25

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Solution

The third proportional to 653,838.75 and 981,416.25 is: 1,473,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,838.75 : 981,416.25 = 981,416.25 : x
  2. Step 2: Convert to fraction form
    653,838.75/981,416.25 = 981,416.25/x
  3. Step 3: Cross multiply
    653,838.75x = 981,416.25 × 981,416.25
  4. Step 4: Simplify right side
    653,838.75x = 963,177,855,764.06
  5. Step 5: Solve for x
    x = 963,177,855,764.06/653,838.75
  6. Step 6: Final answer
    x = 1,473,112.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.