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Finding the Third Proportional to 244,302 and 514,848

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Solution

The third proportional to 244,302 and 514,848 is: 1,085,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,302 : 514,848 = 514,848 : x
  2. Step 2: Convert to fraction form
    244,302/514,848 = 514,848/x
  3. Step 3: Cross multiply
    244,302x = 514,848 × 514,848
  4. Step 4: Simplify right side
    244,302x = 265,068,463,104
  5. Step 5: Solve for x
    x = 265,068,463,104/244,302
  6. Step 6: Final answer
    x = 1,085,003.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.