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Finding the Third Proportional to 333,467 and 517,127

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Solution

The third proportional to 333,467 and 517,127 is: 801,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,467 : 517,127 = 517,127 : x
  2. Step 2: Convert to fraction form
    333,467/517,127 = 517,127/x
  3. Step 3: Cross multiply
    333,467x = 517,127 × 517,127
  4. Step 4: Simplify right side
    333,467x = 267,420,334,129
  5. Step 5: Solve for x
    x = 267,420,334,129/333,467
  6. Step 6: Final answer
    x = 801,939.42

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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.