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Finding the Third Proportional to 267,584 and 414,548

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Solution

The third proportional to 267,584 and 414,548 is: 642,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,584 : 414,548 = 414,548 : x
  2. Step 2: Convert to fraction form
    267,584/414,548 = 414,548/x
  3. Step 3: Cross multiply
    267,584x = 414,548 × 414,548
  4. Step 4: Simplify right side
    267,584x = 171,850,044,304
  5. Step 5: Solve for x
    x = 171,850,044,304/267,584
  6. Step 6: Final answer
    x = 642,228.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.