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Finding the Third Proportional to 454,425.75 and 672,862.50

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Solution

The third proportional to 454,425.75 and 672,862.50 is: 996,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,425.75 : 672,862.50 = 672,862.50 : x
  2. Step 2: Convert to fraction form
    454,425.75/672,862.50 = 672,862.50/x
  3. Step 3: Cross multiply
    454,425.75x = 672,862.50 × 672,862.50
  4. Step 4: Simplify right side
    454,425.75x = 452,743,943,906.25
  5. Step 5: Solve for x
    x = 452,743,943,906.25/454,425.75
  6. Step 6: Final answer
    x = 996,299.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.