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Finding the Third Proportional to 283,734 and 622,750

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Solution

The third proportional to 283,734 and 622,750 is: 1,366,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,734 : 622,750 = 622,750 : x
  2. Step 2: Convert to fraction form
    283,734/622,750 = 622,750/x
  3. Step 3: Cross multiply
    283,734x = 622,750 × 622,750
  4. Step 4: Simplify right side
    283,734x = 387,817,562,500
  5. Step 5: Solve for x
    x = 387,817,562,500/283,734
  6. Step 6: Final answer
    x = 1,366,835.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.