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Finding the Third Proportional to 370,618 and 554,266

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Solution

The third proportional to 370,618 and 554,266 is: 828,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,618 : 554,266 = 554,266 : x
  2. Step 2: Convert to fraction form
    370,618/554,266 = 554,266/x
  3. Step 3: Cross multiply
    370,618x = 554,266 × 554,266
  4. Step 4: Simplify right side
    370,618x = 307,210,798,756
  5. Step 5: Solve for x
    x = 307,210,798,756/370,618
  6. Step 6: Final answer
    x = 828,914.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.