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Finding the Third Proportional to 376,260 and 501,606

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Solution

The third proportional to 376,260 and 501,606 is: 668,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,260 : 501,606 = 501,606 : x
  2. Step 2: Convert to fraction form
    376,260/501,606 = 501,606/x
  3. Step 3: Cross multiply
    376,260x = 501,606 × 501,606
  4. Step 4: Simplify right side
    376,260x = 251,608,579,236
  5. Step 5: Solve for x
    x = 251,608,579,236/376,260
  6. Step 6: Final answer
    x = 668,709.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.