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Finding the Third Proportional to 344,631 and 514,881

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Solution

The third proportional to 344,631 and 514,881 is: 769,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,631 : 514,881 = 514,881 : x
  2. Step 2: Convert to fraction form
    344,631/514,881 = 514,881/x
  3. Step 3: Cross multiply
    344,631x = 514,881 × 514,881
  4. Step 4: Simplify right side
    344,631x = 265,102,444,161
  5. Step 5: Solve for x
    x = 265,102,444,161/344,631
  6. Step 6: Final answer
    x = 769,235.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.