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Finding the Third Proportional to 554,633.81 and 792,584.63

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Solution

The third proportional to 554,633.81 and 792,584.63 is: 1,132,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,633.81 : 792,584.63 = 792,584.63 : x
  2. Step 2: Convert to fraction form
    554,633.81/792,584.63 = 792,584.63/x
  3. Step 3: Cross multiply
    554,633.81x = 792,584.63 × 792,584.63
  4. Step 4: Simplify right side
    554,633.81x = 628,190,387,786.39
  5. Step 5: Solve for x
    x = 628,190,387,786.39/554,633.81
  6. Step 6: Final answer
    x = 1,132,621.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.