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Finding the Third Proportional to 385,791.93 and 845,138.81

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Solution

The third proportional to 385,791.93 and 845,138.81 is: 1,851,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,791.93 : 845,138.81 = 845,138.81 : x
  2. Step 2: Convert to fraction form
    385,791.93/845,138.81 = 845,138.81/x
  3. Step 3: Cross multiply
    385,791.93x = 845,138.81 × 845,138.81
  4. Step 4: Simplify right side
    385,791.93x = 714,259,612,393.91
  5. Step 5: Solve for x
    x = 714,259,612,393.91/385,791.93
  6. Step 6: Final answer
    x = 1,851,411.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.