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Finding the Third Proportional to 249,538 and 541,116

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Solution

The third proportional to 249,538 and 541,116 is: 1,173,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,538 : 541,116 = 541,116 : x
  2. Step 2: Convert to fraction form
    249,538/541,116 = 541,116/x
  3. Step 3: Cross multiply
    249,538x = 541,116 × 541,116
  4. Step 4: Simplify right side
    249,538x = 292,806,525,456
  5. Step 5: Solve for x
    x = 292,806,525,456/249,538
  6. Step 6: Final answer
    x = 1,173,394.53

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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.