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Finding the Third Proportional to 452,198 and 719,810

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Solution

The third proportional to 452,198 and 719,810 is: 1,145,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,198 : 719,810 = 719,810 : x
  2. Step 2: Convert to fraction form
    452,198/719,810 = 719,810/x
  3. Step 3: Cross multiply
    452,198x = 719,810 × 719,810
  4. Step 4: Simplify right side
    452,198x = 518,126,436,100
  5. Step 5: Solve for x
    x = 518,126,436,100/452,198
  6. Step 6: Final answer
    x = 1,145,795.51

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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.