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Finding the Third Proportional to 207,970 and 454,721

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Solution

The third proportional to 207,970 and 454,721 is: 994,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970 : 454,721 = 454,721 : x
  2. Step 2: Convert to fraction form
    207,970/454,721 = 454,721/x
  3. Step 3: Cross multiply
    207,970x = 454,721 × 454,721
  4. Step 4: Simplify right side
    207,970x = 206,771,187,841
  5. Step 5: Solve for x
    x = 206,771,187,841/207,970
  6. Step 6: Final answer
    x = 994,235.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.