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Finding the Third Proportional to 267,584 and 413,136

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Solution

The third proportional to 267,584 and 413,136 is: 637,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,584 : 413,136 = 413,136 : x
  2. Step 2: Convert to fraction form
    267,584/413,136 = 413,136/x
  3. Step 3: Cross multiply
    267,584x = 413,136 × 413,136
  4. Step 4: Simplify right side
    267,584x = 170,681,354,496
  5. Step 5: Solve for x
    x = 170,681,354,496/267,584
  6. Step 6: Final answer
    x = 637,860.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.