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Finding the Third Proportional to 435,262 and 958,796

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Solution

The third proportional to 435,262 and 958,796 is: 2,112,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,262 : 958,796 = 958,796 : x
  2. Step 2: Convert to fraction form
    435,262/958,796 = 958,796/x
  3. Step 3: Cross multiply
    435,262x = 958,796 × 958,796
  4. Step 4: Simplify right side
    435,262x = 919,289,769,616
  5. Step 5: Solve for x
    x = 919,289,769,616/435,262
  6. Step 6: Final answer
    x = 2,112,037.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.