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Finding the Third Proportional to 334,130 and 517,147

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Solution

The third proportional to 334,130 and 517,147 is: 800,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,130 : 517,147 = 517,147 : x
  2. Step 2: Convert to fraction form
    334,130/517,147 = 517,147/x
  3. Step 3: Cross multiply
    334,130x = 517,147 × 517,147
  4. Step 4: Simplify right side
    334,130x = 267,441,019,609
  5. Step 5: Solve for x
    x = 267,441,019,609/334,130
  6. Step 6: Final answer
    x = 800,410.08

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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.