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Finding the Third Proportional to 283,053 and 454,515

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Solution

The third proportional to 283,053 and 454,515 is: 729,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,053 : 454,515 = 454,515 : x
  2. Step 2: Convert to fraction form
    283,053/454,515 = 454,515/x
  3. Step 3: Cross multiply
    283,053x = 454,515 × 454,515
  4. Step 4: Simplify right side
    283,053x = 206,583,885,225
  5. Step 5: Solve for x
    x = 206,583,885,225/283,053
  6. Step 6: Final answer
    x = 729,841.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.