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Finding the Third Proportional to 253,643 and 379,771

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Solution

The third proportional to 253,643 and 379,771 is: 568,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,643 : 379,771 = 379,771 : x
  2. Step 2: Convert to fraction form
    253,643/379,771 = 379,771/x
  3. Step 3: Cross multiply
    253,643x = 379,771 × 379,771
  4. Step 4: Simplify right side
    253,643x = 144,226,012,441
  5. Step 5: Solve for x
    x = 144,226,012,441/253,643
  6. Step 6: Final answer
    x = 568,618.15

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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.