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Finding the Third Proportional to 283,045 and 454,503

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Solution

The third proportional to 283,045 and 454,503 is: 729,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,045 : 454,503 = 454,503 : x
  2. Step 2: Convert to fraction form
    283,045/454,503 = 454,503/x
  3. Step 3: Cross multiply
    283,045x = 454,503 × 454,503
  4. Step 4: Simplify right side
    283,045x = 206,572,977,009
  5. Step 5: Solve for x
    x = 206,572,977,009/283,045
  6. Step 6: Final answer
    x = 729,823.80

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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.