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Finding the Third Proportional to 376,302 and 536,424

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Solution

The third proportional to 376,302 and 536,424 is: 764,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,302 : 536,424 = 536,424 : x
  2. Step 2: Convert to fraction form
    376,302/536,424 = 536,424/x
  3. Step 3: Cross multiply
    376,302x = 536,424 × 536,424
  4. Step 4: Simplify right side
    376,302x = 287,750,707,776
  5. Step 5: Solve for x
    x = 287,750,707,776/376,302
  6. Step 6: Final answer
    x = 764,680.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.