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Finding the Third Proportional to 285,960 and 564,744.75

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Solution

The third proportional to 285,960 and 564,744.75 is: 1,115,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,960 : 564,744.75 = 564,744.75 : x
  2. Step 2: Convert to fraction form
    285,960/564,744.75 = 564,744.75/x
  3. Step 3: Cross multiply
    285,960x = 564,744.75 × 564,744.75
  4. Step 4: Simplify right side
    285,960x = 318,936,632,652.56
  5. Step 5: Solve for x
    x = 318,936,632,652.56/285,960
  6. Step 6: Final answer
    x = 1,115,319.04

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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.