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Finding the Third Proportional to 251,872 and 383,822

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Solution

The third proportional to 251,872 and 383,822 is: 584,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,872 : 383,822 = 383,822 : x
  2. Step 2: Convert to fraction form
    251,872/383,822 = 383,822/x
  3. Step 3: Cross multiply
    251,872x = 383,822 × 383,822
  4. Step 4: Simplify right side
    251,872x = 147,319,327,684
  5. Step 5: Solve for x
    x = 147,319,327,684/251,872
  6. Step 6: Final answer
    x = 584,897.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.