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Finding the Third Proportional to 343,170 and 517,455

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Solution

The third proportional to 343,170 and 517,455 is: 780,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,170 : 517,455 = 517,455 : x
  2. Step 2: Convert to fraction form
    343,170/517,455 = 517,455/x
  3. Step 3: Cross multiply
    343,170x = 517,455 × 517,455
  4. Step 4: Simplify right side
    343,170x = 267,759,677,025
  5. Step 5: Solve for x
    x = 267,759,677,025/343,170
  6. Step 6: Final answer
    x = 780,253.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.