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Finding the Third Proportional to 209,678 and 452,732

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Solution

The third proportional to 209,678 and 452,732 is: 977,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,678 : 452,732 = 452,732 : x
  2. Step 2: Convert to fraction form
    209,678/452,732 = 452,732/x
  3. Step 3: Cross multiply
    209,678x = 452,732 × 452,732
  4. Step 4: Simplify right side
    209,678x = 204,966,263,824
  5. Step 5: Solve for x
    x = 204,966,263,824/209,678
  6. Step 6: Final answer
    x = 977,528.71

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