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Finding the Third Proportional to 253,056 and 378,882

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Solution

The third proportional to 253,056 and 378,882 is: 567,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,056 : 378,882 = 378,882 : x
  2. Step 2: Convert to fraction form
    253,056/378,882 = 378,882/x
  3. Step 3: Cross multiply
    253,056x = 378,882 × 378,882
  4. Step 4: Simplify right side
    253,056x = 143,551,569,924
  5. Step 5: Solve for x
    x = 143,551,569,924/253,056
  6. Step 6: Final answer
    x = 567,271.95

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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.