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Finding the Third Proportional to 252,476 and 379,368

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Solution

The third proportional to 252,476 and 379,368 is: 570,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,476 : 379,368 = 379,368 : x
  2. Step 2: Convert to fraction form
    252,476/379,368 = 379,368/x
  3. Step 3: Cross multiply
    252,476x = 379,368 × 379,368
  4. Step 4: Simplify right side
    252,476x = 143,920,079,424
  5. Step 5: Solve for x
    x = 143,920,079,424/252,476
  6. Step 6: Final answer
    x = 570,034.69

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