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Finding the Third Proportional to 452,189 and 719,795

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Solution

The third proportional to 452,189 and 719,795 is: 1,145,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,189 : 719,795 = 719,795 : x
  2. Step 2: Convert to fraction form
    452,189/719,795 = 719,795/x
  3. Step 3: Cross multiply
    452,189x = 719,795 × 719,795
  4. Step 4: Simplify right side
    452,189x = 518,104,842,025
  5. Step 5: Solve for x
    x = 518,104,842,025/452,189
  6. Step 6: Final answer
    x = 1,145,770.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.