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Finding the Third Proportional to 344,848 and 535,204

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Solution

The third proportional to 344,848 and 535,204 is: 830,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,848 : 535,204 = 535,204 : x
  2. Step 2: Convert to fraction form
    344,848/535,204 = 535,204/x
  3. Step 3: Cross multiply
    344,848x = 535,204 × 535,204
  4. Step 4: Simplify right side
    344,848x = 286,443,321,616
  5. Step 5: Solve for x
    x = 286,443,321,616/344,848
  6. Step 6: Final answer
    x = 830,636.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.