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Finding the Third Proportional to 244,378 and 517,700

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Solution

The third proportional to 244,378 and 517,700 is: 1,096,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,378 : 517,700 = 517,700 : x
  2. Step 2: Convert to fraction form
    244,378/517,700 = 517,700/x
  3. Step 3: Cross multiply
    244,378x = 517,700 × 517,700
  4. Step 4: Simplify right side
    244,378x = 268,013,290,000
  5. Step 5: Solve for x
    x = 268,013,290,000/244,378
  6. Step 6: Final answer
    x = 1,096,716.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.