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Finding the Third Proportional to 209,914 and 452,996

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Solution

The third proportional to 209,914 and 452,996 is: 977,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,914 : 452,996 = 452,996 : x
  2. Step 2: Convert to fraction form
    209,914/452,996 = 452,996/x
  3. Step 3: Cross multiply
    209,914x = 452,996 × 452,996
  4. Step 4: Simplify right side
    209,914x = 205,205,376,016
  5. Step 5: Solve for x
    x = 205,205,376,016/209,914
  6. Step 6: Final answer
    x = 977,568.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.