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Finding the Third Proportional to 260,272 and 543,136

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Solution

The third proportional to 260,272 and 543,136 is: 1,133,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,272 : 543,136 = 543,136 : x
  2. Step 2: Convert to fraction form
    260,272/543,136 = 543,136/x
  3. Step 3: Cross multiply
    260,272x = 543,136 × 543,136
  4. Step 4: Simplify right side
    260,272x = 294,996,714,496
  5. Step 5: Solve for x
    x = 294,996,714,496/260,272
  6. Step 6: Final answer
    x = 1,133,417.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.