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Finding the Third Proportional to 346,241 and 517,977

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Solution

The third proportional to 346,241 and 517,977 is: 774,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,241 : 517,977 = 517,977 : x
  2. Step 2: Convert to fraction form
    346,241/517,977 = 517,977/x
  3. Step 3: Cross multiply
    346,241x = 517,977 × 517,977
  4. Step 4: Simplify right side
    346,241x = 268,300,172,529
  5. Step 5: Solve for x
    x = 268,300,172,529/346,241
  6. Step 6: Final answer
    x = 774,894.29

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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.