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Finding the Third Proportional to 244,256 and 514,752

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Solution

The third proportional to 244,256 and 514,752 is: 1,084,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,256 : 514,752 = 514,752 : x
  2. Step 2: Convert to fraction form
    244,256/514,752 = 514,752/x
  3. Step 3: Cross multiply
    244,256x = 514,752 × 514,752
  4. Step 4: Simplify right side
    244,256x = 264,969,621,504
  5. Step 5: Solve for x
    x = 264,969,621,504/244,256
  6. Step 6: Final answer
    x = 1,084,802.92

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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.