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Finding the Third Proportional to 207,617 and 454,003

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Solution

The third proportional to 207,617 and 454,003 is: 992,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,617 : 454,003 = 454,003 : x
  2. Step 2: Convert to fraction form
    207,617/454,003 = 454,003/x
  3. Step 3: Cross multiply
    207,617x = 454,003 × 454,003
  4. Step 4: Simplify right side
    207,617x = 206,118,724,009
  5. Step 5: Solve for x
    x = 206,118,724,009/207,617
  6. Step 6: Final answer
    x = 992,783.46

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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.