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Finding the Third Proportional to 244,240 and 514,720

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Solution

The third proportional to 244,240 and 514,720 is: 1,084,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,240 : 514,720 = 514,720 : x
  2. Step 2: Convert to fraction form
    244,240/514,720 = 514,720/x
  3. Step 3: Cross multiply
    244,240x = 514,720 × 514,720
  4. Step 4: Simplify right side
    244,240x = 264,936,678,400
  5. Step 5: Solve for x
    x = 264,936,678,400/244,240
  6. Step 6: Final answer
    x = 1,084,739.10

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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.