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Finding the Third Proportional to 251,055 and 376,584

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Solution

The third proportional to 251,055 and 376,584 is: 564,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,055 : 376,584 = 376,584 : x
  2. Step 2: Convert to fraction form
    251,055/376,584 = 376,584/x
  3. Step 3: Cross multiply
    251,055x = 376,584 × 376,584
  4. Step 4: Simplify right side
    251,055x = 141,815,509,056
  5. Step 5: Solve for x
    x = 141,815,509,056/251,055
  6. Step 6: Final answer
    x = 564,878.25

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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.