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Finding the Third Proportional to 249,349 and 548,512

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Solution

The third proportional to 249,349 and 548,512 is: 1,206,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,349 : 548,512 = 548,512 : x
  2. Step 2: Convert to fraction form
    249,349/548,512 = 548,512/x
  3. Step 3: Cross multiply
    249,349x = 548,512 × 548,512
  4. Step 4: Simplify right side
    249,349x = 300,865,414,144
  5. Step 5: Solve for x
    x = 300,865,414,144/249,349
  6. Step 6: Final answer
    x = 1,206,603.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.