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Finding the Third Proportional to 283,027 and 418,060.50

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Solution

The third proportional to 283,027 and 418,060.50 is: 617,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,027 : 418,060.50 = 418,060.50 : x
  2. Step 2: Convert to fraction form
    283,027/418,060.50 = 418,060.50/x
  3. Step 3: Cross multiply
    283,027x = 418,060.50 × 418,060.50
  4. Step 4: Simplify right side
    283,027x = 174,774,581,660.25
  5. Step 5: Solve for x
    x = 174,774,581,660.25/283,027
  6. Step 6: Final answer
    x = 617,519.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.