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Finding the Third Proportional to 209,673 and 452,718

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Solution

The third proportional to 209,673 and 452,718 is: 977,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,673 : 452,718 = 452,718 : x
  2. Step 2: Convert to fraction form
    209,673/452,718 = 452,718/x
  3. Step 3: Cross multiply
    209,673x = 452,718 × 452,718
  4. Step 4: Simplify right side
    209,673x = 204,953,587,524
  5. Step 5: Solve for x
    x = 204,953,587,524/209,673
  6. Step 6: Final answer
    x = 977,491.56

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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.