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Finding the Third Proportional to 379,569 and 573,275

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Solution

The third proportional to 379,569 and 573,275 is: 865,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,569 : 573,275 = 573,275 : x
  2. Step 2: Convert to fraction form
    379,569/573,275 = 573,275/x
  3. Step 3: Cross multiply
    379,569x = 573,275 × 573,275
  4. Step 4: Simplify right side
    379,569x = 328,644,225,625
  5. Step 5: Solve for x
    x = 328,644,225,625/379,569
  6. Step 6: Final answer
    x = 865,835.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.