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Finding the Third Proportional to 260,224 and 571,136

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Solution

The third proportional to 260,224 and 571,136 is: 1,253,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,224 : 571,136 = 571,136 : x
  2. Step 2: Convert to fraction form
    260,224/571,136 = 571,136/x
  3. Step 3: Cross multiply
    260,224x = 571,136 × 571,136
  4. Step 4: Simplify right side
    260,224x = 326,196,330,496
  5. Step 5: Solve for x
    x = 326,196,330,496/260,224
  6. Step 6: Final answer
    x = 1,253,521.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.