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Finding the Third Proportional to 653,594.06 and 941,366.81

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Solution

The third proportional to 653,594.06 and 941,366.81 is: 1,355,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,594.06 : 941,366.81 = 941,366.81 : x
  2. Step 2: Convert to fraction form
    653,594.06/941,366.81 = 941,366.81/x
  3. Step 3: Cross multiply
    653,594.06x = 941,366.81 × 941,366.81
  4. Step 4: Simplify right side
    653,594.06x = 886,171,475,676.41
  5. Step 5: Solve for x
    x = 886,171,475,676.41/653,594.06
  6. Step 6: Final answer
    x = 1,355,843.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.