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Finding the Third Proportional to 207,498 and 453,228

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Solution

The third proportional to 207,498 and 453,228 is: 989,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,498 : 453,228 = 453,228 : x
  2. Step 2: Convert to fraction form
    207,498/453,228 = 453,228/x
  3. Step 3: Cross multiply
    207,498x = 453,228 × 453,228
  4. Step 4: Simplify right side
    207,498x = 205,415,619,984
  5. Step 5: Solve for x
    x = 205,415,619,984/207,498
  6. Step 6: Final answer
    x = 989,964.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.