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Finding the Third Proportional to 261,794 and 573,304

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Solution

The third proportional to 261,794 and 573,304 is: 1,255,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,794 : 573,304 = 573,304 : x
  2. Step 2: Convert to fraction form
    261,794/573,304 = 573,304/x
  3. Step 3: Cross multiply
    261,794x = 573,304 × 573,304
  4. Step 4: Simplify right side
    261,794x = 328,677,476,416
  5. Step 5: Solve for x
    x = 328,677,476,416/261,794
  6. Step 6: Final answer
    x = 1,255,481.32

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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.