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Finding the Third Proportional to 301,797 and 452,731.50

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Solution

The third proportional to 301,797 and 452,731.50 is: 679,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,797 : 452,731.50 = 452,731.50 : x
  2. Step 2: Convert to fraction form
    301,797/452,731.50 = 452,731.50/x
  3. Step 3: Cross multiply
    301,797x = 452,731.50 × 452,731.50
  4. Step 4: Simplify right side
    301,797x = 204,965,811,092.25
  5. Step 5: Solve for x
    x = 204,965,811,092.25/301,797
  6. Step 6: Final answer
    x = 679,151.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.