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Finding the Third Proportional to 376,056 and 564,165

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Solution

The third proportional to 376,056 and 564,165 is: 846,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,056 : 564,165 = 564,165 : x
  2. Step 2: Convert to fraction form
    376,056/564,165 = 564,165/x
  3. Step 3: Cross multiply
    376,056x = 564,165 × 564,165
  4. Step 4: Simplify right side
    376,056x = 318,282,147,225
  5. Step 5: Solve for x
    x = 318,282,147,225/376,056
  6. Step 6: Final answer
    x = 846,369.02

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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.