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Finding the Third Proportional to 344,685 and 517,392

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Solution

The third proportional to 344,685 and 517,392 is: 776,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,685 : 517,392 = 517,392 : x
  2. Step 2: Convert to fraction form
    344,685/517,392 = 517,392/x
  3. Step 3: Cross multiply
    344,685x = 517,392 × 517,392
  4. Step 4: Simplify right side
    344,685x = 267,694,481,664
  5. Step 5: Solve for x
    x = 267,694,481,664/344,685
  6. Step 6: Final answer
    x = 776,635.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.