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Finding the Third Proportional to 376,450 and 536,618

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Solution

The third proportional to 376,450 and 536,618 is: 764,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,450 : 536,618 = 536,618 : x
  2. Step 2: Convert to fraction form
    376,450/536,618 = 536,618/x
  3. Step 3: Cross multiply
    376,450x = 536,618 × 536,618
  4. Step 4: Simplify right side
    376,450x = 287,958,877,924
  5. Step 5: Solve for x
    x = 287,958,877,924/376,450
  6. Step 6: Final answer
    x = 764,932.60

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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.