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Finding the Third Proportional to 354,996 and 536,190

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Solution

The third proportional to 354,996 and 536,190 is: 809,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,996 : 536,190 = 536,190 : x
  2. Step 2: Convert to fraction form
    354,996/536,190 = 536,190/x
  3. Step 3: Cross multiply
    354,996x = 536,190 × 536,190
  4. Step 4: Simplify right side
    354,996x = 287,499,716,100
  5. Step 5: Solve for x
    x = 287,499,716,100/354,996
  6. Step 6: Final answer
    x = 809,867.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.