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Finding the Third Proportional to 263,025 and 568,089

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Solution

The third proportional to 263,025 and 568,089 is: 1,226,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,025 : 568,089 = 568,089 : x
  2. Step 2: Convert to fraction form
    263,025/568,089 = 568,089/x
  3. Step 3: Cross multiply
    263,025x = 568,089 × 568,089
  4. Step 4: Simplify right side
    263,025x = 322,725,111,921
  5. Step 5: Solve for x
    x = 322,725,111,921/263,025
  6. Step 6: Final answer
    x = 1,226,975.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.