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Finding the Third Proportional to 335,188 and 722,852

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Solution

The third proportional to 335,188 and 722,852 is: 1,558,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,188 : 722,852 = 722,852 : x
  2. Step 2: Convert to fraction form
    335,188/722,852 = 722,852/x
  3. Step 3: Cross multiply
    335,188x = 722,852 × 722,852
  4. Step 4: Simplify right side
    335,188x = 522,515,013,904
  5. Step 5: Solve for x
    x = 522,515,013,904/335,188
  6. Step 6: Final answer
    x = 1,558,871.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.