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Finding the Third Proportional to 249,096 and 534,474

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Solution

The third proportional to 249,096 and 534,474 is: 1,146,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,096 : 534,474 = 534,474 : x
  2. Step 2: Convert to fraction form
    249,096/534,474 = 534,474/x
  3. Step 3: Cross multiply
    249,096x = 534,474 × 534,474
  4. Step 4: Simplify right side
    249,096x = 285,662,456,676
  5. Step 5: Solve for x
    x = 285,662,456,676/249,096
  6. Step 6: Final answer
    x = 1,146,796.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.