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Finding the Third Proportional to 252,812 and 583,790

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Solution

The third proportional to 252,812 and 583,790 is: 1,348,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,812 : 583,790 = 583,790 : x
  2. Step 2: Convert to fraction form
    252,812/583,790 = 583,790/x
  3. Step 3: Cross multiply
    252,812x = 583,790 × 583,790
  4. Step 4: Simplify right side
    252,812x = 340,810,764,100
  5. Step 5: Solve for x
    x = 340,810,764,100/252,812
  6. Step 6: Final answer
    x = 1,348,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.