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Finding the Third Proportional to 249,554 and 541,144

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Solution

The third proportional to 249,554 and 541,144 is: 1,173,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,554 : 541,144 = 541,144 : x
  2. Step 2: Convert to fraction form
    249,554/541,144 = 541,144/x
  3. Step 3: Cross multiply
    249,554x = 541,144 × 541,144
  4. Step 4: Simplify right side
    249,554x = 292,836,828,736
  5. Step 5: Solve for x
    x = 292,836,828,736/249,554
  6. Step 6: Final answer
    x = 1,173,440.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.