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Finding the Third Proportional to 249,450.75 and 548,727

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Solution

The third proportional to 249,450.75 and 548,727 is: 1,207,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,450.75 : 548,727 = 548,727 : x
  2. Step 2: Convert to fraction form
    249,450.75/548,727 = 548,727/x
  3. Step 3: Cross multiply
    249,450.75x = 548,727 × 548,727
  4. Step 4: Simplify right side
    249,450.75x = 301,101,320,529
  5. Step 5: Solve for x
    x = 301,101,320,529/249,450.75
  6. Step 6: Final answer
    x = 1,207,057.19

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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.