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Finding the Third Proportional to 253,527 and 379,503

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Solution

The third proportional to 253,527 and 379,503 is: 568,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,527 : 379,503 = 379,503 : x
  2. Step 2: Convert to fraction form
    253,527/379,503 = 379,503/x
  3. Step 3: Cross multiply
    253,527x = 379,503 × 379,503
  4. Step 4: Simplify right side
    253,527x = 144,022,527,009
  5. Step 5: Solve for x
    x = 144,022,527,009/253,527
  6. Step 6: Final answer
    x = 568,075.70

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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.