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Finding the Third Proportional to 283,606 and 425,410

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Solution

The third proportional to 283,606 and 425,410 is: 638,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,606 : 425,410 = 425,410 : x
  2. Step 2: Convert to fraction form
    283,606/425,410 = 425,410/x
  3. Step 3: Cross multiply
    283,606x = 425,410 × 425,410
  4. Step 4: Simplify right side
    283,606x = 180,973,668,100
  5. Step 5: Solve for x
    x = 180,973,668,100/283,606
  6. Step 6: Final answer
    x = 638,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.