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Finding the Third Proportional to 350,966.25 and 521,286.75

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Solution

The third proportional to 350,966.25 and 521,286.75 is: 774,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,966.25 : 521,286.75 = 521,286.75 : x
  2. Step 2: Convert to fraction form
    350,966.25/521,286.75 = 521,286.75/x
  3. Step 3: Cross multiply
    350,966.25x = 521,286.75 × 521,286.75
  4. Step 4: Simplify right side
    350,966.25x = 271,739,875,725.56
  5. Step 5: Solve for x
    x = 271,739,875,725.56/350,966.25
  6. Step 6: Final answer
    x = 774,262.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.