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Finding the Third Proportional to 264,573 and 561,816

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Solution

The third proportional to 264,573 and 561,816 is: 1,193,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,573 : 561,816 = 561,816 : x
  2. Step 2: Convert to fraction form
    264,573/561,816 = 561,816/x
  3. Step 3: Cross multiply
    264,573x = 561,816 × 561,816
  4. Step 4: Simplify right side
    264,573x = 315,637,217,856
  5. Step 5: Solve for x
    x = 315,637,217,856/264,573
  6. Step 6: Final answer
    x = 1,193,006.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.