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Finding the Third Proportional to 244,144 and 514,536

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Solution

The third proportional to 244,144 and 514,536 is: 1,084,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,144 : 514,536 = 514,536 : x
  2. Step 2: Convert to fraction form
    244,144/514,536 = 514,536/x
  3. Step 3: Cross multiply
    244,144x = 514,536 × 514,536
  4. Step 4: Simplify right side
    244,144x = 264,747,295,296
  5. Step 5: Solve for x
    x = 264,747,295,296/244,144
  6. Step 6: Final answer
    x = 1,084,389.93

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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.