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Finding the Third Proportional to 207,404 and 454,984

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Solution

The third proportional to 207,404 and 454,984 is: 998,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,404 : 454,984 = 454,984 : x
  2. Step 2: Convert to fraction form
    207,404/454,984 = 454,984/x
  3. Step 3: Cross multiply
    207,404x = 454,984 × 454,984
  4. Step 4: Simplify right side
    207,404x = 207,010,440,256
  5. Step 5: Solve for x
    x = 207,010,440,256/207,404
  6. Step 6: Final answer
    x = 998,102.45

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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.