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Finding the Third Proportional to 240,377.63 and 518,835.38

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Solution

The third proportional to 240,377.63 and 518,835.38 is: 1,119,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,377.63 : 518,835.38 = 518,835.38 : x
  2. Step 2: Convert to fraction form
    240,377.63/518,835.38 = 518,835.38/x
  3. Step 3: Cross multiply
    240,377.63x = 518,835.38 × 518,835.38
  4. Step 4: Simplify right side
    240,377.63x = 269,190,146,351.39
  5. Step 5: Solve for x
    x = 269,190,146,351.39/240,377.63
  6. Step 6: Final answer
    x = 1,119,863.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.