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Finding the Third Proportional to 244,239 and 514,718

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Solution

The third proportional to 244,239 and 514,718 is: 1,084,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,239 : 514,718 = 514,718 : x
  2. Step 2: Convert to fraction form
    244,239/514,718 = 514,718/x
  3. Step 3: Cross multiply
    244,239x = 514,718 × 514,718
  4. Step 4: Simplify right side
    244,239x = 264,934,619,524
  5. Step 5: Solve for x
    x = 264,934,619,524/244,239
  6. Step 6: Final answer
    x = 1,084,735.11

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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.