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Finding the Third Proportional to 207,738 and 453,903.75

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Solution

The third proportional to 207,738 and 453,903.75 is: 991,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,738 : 453,903.75 = 453,903.75 : x
  2. Step 2: Convert to fraction form
    207,738/453,903.75 = 453,903.75/x
  3. Step 3: Cross multiply
    207,738x = 453,903.75 × 453,903.75
  4. Step 4: Simplify right side
    207,738x = 206,028,614,264.06
  5. Step 5: Solve for x
    x = 206,028,614,264.06/207,738
  6. Step 6: Final answer
    x = 991,771.43

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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.