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Finding the Third Proportional to 382,241 and 573,307

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Solution

The third proportional to 382,241 and 573,307 is: 859,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,241 : 573,307 = 573,307 : x
  2. Step 2: Convert to fraction form
    382,241/573,307 = 573,307/x
  3. Step 3: Cross multiply
    382,241x = 573,307 × 573,307
  4. Step 4: Simplify right side
    382,241x = 328,680,916,249
  5. Step 5: Solve for x
    x = 328,680,916,249/382,241
  6. Step 6: Final answer
    x = 859,878.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.