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Finding the Third Proportional to 368,896.36 and 542,795.13

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Solution

The third proportional to 368,896.36 and 542,795.13 is: 798,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,896.36 : 542,795.13 = 542,795.13 : x
  2. Step 2: Convert to fraction form
    368,896.36/542,795.13 = 542,795.13/x
  3. Step 3: Cross multiply
    368,896.36x = 542,795.13 × 542,795.13
  4. Step 4: Simplify right side
    368,896.36x = 294,626,556,204.94
  5. Step 5: Solve for x
    x = 294,626,556,204.94/368,896.36
  6. Step 6: Final answer
    x = 798,670.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.