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Finding the Third Proportional to 350,264 and 534,136

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Solution

The third proportional to 350,264 and 534,136 is: 814,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,264 : 534,136 = 534,136 : x
  2. Step 2: Convert to fraction form
    350,264/534,136 = 534,136/x
  3. Step 3: Cross multiply
    350,264x = 534,136 × 534,136
  4. Step 4: Simplify right side
    350,264x = 285,301,266,496
  5. Step 5: Solve for x
    x = 285,301,266,496/350,264
  6. Step 6: Final answer
    x = 814,532.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.