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Finding the Third Proportional to 249,274 and 544,232

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Solution

The third proportional to 249,274 and 544,232 is: 1,188,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,274 : 544,232 = 544,232 : x
  2. Step 2: Convert to fraction form
    249,274/544,232 = 544,232/x
  3. Step 3: Cross multiply
    249,274x = 544,232 × 544,232
  4. Step 4: Simplify right side
    249,274x = 296,188,469,824
  5. Step 5: Solve for x
    x = 296,188,469,824/249,274
  6. Step 6: Final answer
    x = 1,188,204.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.