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Finding the Third Proportional to 285,852 and 564,474

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Solution

The third proportional to 285,852 and 564,474 is: 1,114,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,852 : 564,474 = 564,474 : x
  2. Step 2: Convert to fraction form
    285,852/564,474 = 564,474/x
  3. Step 3: Cross multiply
    285,852x = 564,474 × 564,474
  4. Step 4: Simplify right side
    285,852x = 318,630,896,676
  5. Step 5: Solve for x
    x = 318,630,896,676/285,852
  6. Step 6: Final answer
    x = 1,114,670.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.