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Finding the Third Proportional to 283,856.25 and 619,956.75

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Solution

The third proportional to 283,856.25 and 619,956.75 is: 1,354,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,856.25 : 619,956.75 = 619,956.75 : x
  2. Step 2: Convert to fraction form
    283,856.25/619,956.75 = 619,956.75/x
  3. Step 3: Cross multiply
    283,856.25x = 619,956.75 × 619,956.75
  4. Step 4: Simplify right side
    283,856.25x = 384,346,371,870.56
  5. Step 5: Solve for x
    x = 384,346,371,870.56/283,856.25
  6. Step 6: Final answer
    x = 1,354,017.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.