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Finding the Third Proportional to 565,529 and 1,230,567

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Solution

The third proportional to 565,529 and 1,230,567 is: 2,677,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,529 : 1,230,567 = 1,230,567 : x
  2. Step 2: Convert to fraction form
    565,529/1,230,567 = 1,230,567/x
  3. Step 3: Cross multiply
    565,529x = 1,230,567 × 1,230,567
  4. Step 4: Simplify right side
    565,529x = 1,514,295,141,489
  5. Step 5: Solve for x
    x = 1,514,295,141,489/565,529
  6. Step 6: Final answer
    x = 2,677,661.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.