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Finding the Third Proportional to 244,102 and 514,448

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Solution

The third proportional to 244,102 and 514,448 is: 1,084,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,102 : 514,448 = 514,448 : x
  2. Step 2: Convert to fraction form
    244,102/514,448 = 514,448/x
  3. Step 3: Cross multiply
    244,102x = 514,448 × 514,448
  4. Step 4: Simplify right side
    244,102x = 264,656,744,704
  5. Step 5: Solve for x
    x = 264,656,744,704/244,102
  6. Step 6: Final answer
    x = 1,084,205.56

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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.