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Finding the Third Proportional to 243,198 and 520,038

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Solution

The third proportional to 243,198 and 520,038 is: 1,112,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,198 : 520,038 = 520,038 : x
  2. Step 2: Convert to fraction form
    243,198/520,038 = 520,038/x
  3. Step 3: Cross multiply
    243,198x = 520,038 × 520,038
  4. Step 4: Simplify right side
    243,198x = 270,439,521,444
  5. Step 5: Solve for x
    x = 270,439,521,444/243,198
  6. Step 6: Final answer
    x = 1,112,013.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.