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Finding the Third Proportional to 342,789.47 and 793,448.16

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Solution

The third proportional to 342,789.47 and 793,448.16 is: 1,836,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,789.47 : 793,448.16 = 793,448.16 : x
  2. Step 2: Convert to fraction form
    342,789.47/793,448.16 = 793,448.16/x
  3. Step 3: Cross multiply
    342,789.47x = 793,448.16 × 793,448.16
  4. Step 4: Simplify right side
    342,789.47x = 629,559,976,656.52
  5. Step 5: Solve for x
    x = 629,559,976,656.52/342,789.47
  6. Step 6: Final answer
    x = 1,836,579.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.