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Finding the Third Proportional to 251,646 and 376,461

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Solution

The third proportional to 251,646 and 376,461 is: 563,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,646 : 376,461 = 376,461 : x
  2. Step 2: Convert to fraction form
    251,646/376,461 = 376,461/x
  3. Step 3: Cross multiply
    251,646x = 376,461 × 376,461
  4. Step 4: Simplify right side
    251,646x = 141,722,884,521
  5. Step 5: Solve for x
    x = 141,722,884,521/251,646
  6. Step 6: Final answer
    x = 563,183.54

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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.