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Finding the Third Proportional to 266,284 and 579,590

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Solution

The third proportional to 266,284 and 579,590 is: 1,261,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,284 : 579,590 = 579,590 : x
  2. Step 2: Convert to fraction form
    266,284/579,590 = 579,590/x
  3. Step 3: Cross multiply
    266,284x = 579,590 × 579,590
  4. Step 4: Simplify right side
    266,284x = 335,924,568,100
  5. Step 5: Solve for x
    x = 335,924,568,100/266,284
  6. Step 6: Final answer
    x = 1,261,527.42

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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.